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Finding the Fourth Proportional to 2,699.61, 4,042.40 and 2,312.10

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Solution

The fourth proportional to 2,699.61, 4,042.40 and 2,312.10 is: 3,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.61 : 4,042.40 = 2,312.10 : x
  2. Step 2: Convert to fraction form
    2,699.61/4,042.40 = 2,312.10/x
  3. Step 3: Cross multiply
    2,699.61x = 4,042.40 × 2,312.10
  4. Step 4: Simplify right side
    2,699.61x = 9,346,430.15
  5. Step 5: Solve for x
    x = 9,346,430.15/2,699.61
  6. Step 6: Final answer
    x = 3,462.15

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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.