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Finding the Fourth Proportional to 1,662.19, 2,293.71 and 916.15

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Solution

The fourth proportional to 1,662.19, 2,293.71 and 916.15 is: 1,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.19 : 2,293.71 = 916.15 : x
  2. Step 2: Convert to fraction form
    1,662.19/2,293.71 = 916.15/x
  3. Step 3: Cross multiply
    1,662.19x = 2,293.71 × 916.15
  4. Step 4: Simplify right side
    1,662.19x = 2,101,386.71
  5. Step 5: Solve for x
    x = 2,101,386.71/1,662.19
  6. Step 6: Final answer
    x = 1,264.23

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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.