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Finding the Fourth Proportional to 1,766,006.10, 2,649,009.15 and 1,411,712.10

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Solution

The fourth proportional to 1,766,006.10, 2,649,009.15 and 1,411,712.10 is: 2,117,568.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,006.10 : 2,649,009.15 = 1,411,712.10 : x
  2. Step 2: Convert to fraction form
    1,766,006.10/2,649,009.15 = 1,411,712.10/x
  3. Step 3: Cross multiply
    1,766,006.10x = 2,649,009.15 × 1,411,712.10
  4. Step 4: Simplify right side
    1,766,006.10x = 3,739,638,270,065.72
  5. Step 5: Solve for x
    x = 3,739,638,270,065.72/1,766,006.10
  6. Step 6: Final answer
    x = 2,117,568.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.