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Finding the Fourth Proportional to 1,335.69, 1,842.90 and 916.17

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Solution

The fourth proportional to 1,335.69, 1,842.90 and 916.17 is: 1,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.69 : 1,842.90 = 916.17 : x
  2. Step 2: Convert to fraction form
    1,335.69/1,842.90 = 916.17/x
  3. Step 3: Cross multiply
    1,335.69x = 1,842.90 × 916.17
  4. Step 4: Simplify right side
    1,335.69x = 1,688,409.69
  5. Step 5: Solve for x
    x = 1,688,409.69/1,335.69
  6. Step 6: Final answer
    x = 1,264.07

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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.