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Finding the Fourth Proportional to 1,778.71, 2,454.50 and 1,070.42

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Solution

The fourth proportional to 1,778.71, 2,454.50 and 1,070.42 is: 1,477.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.71 : 2,454.50 = 1,070.42 : x
  2. Step 2: Convert to fraction form
    1,778.71/2,454.50 = 1,070.42/x
  3. Step 3: Cross multiply
    1,778.71x = 2,454.50 × 1,070.42
  4. Step 4: Simplify right side
    1,778.71x = 2,627,345.89
  5. Step 5: Solve for x
    x = 2,627,345.89/1,778.71
  6. Step 6: Final answer
    x = 1,477.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.