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Finding the Fourth Proportional to 1,662.10, 2,293.68 and 916.04

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Solution

The fourth proportional to 1,662.10, 2,293.68 and 916.04 is: 1,264.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.10 : 2,293.68 = 916.04 : x
  2. Step 2: Convert to fraction form
    1,662.10/2,293.68 = 916.04/x
  3. Step 3: Cross multiply
    1,662.10x = 2,293.68 × 916.04
  4. Step 4: Simplify right side
    1,662.10x = 2,101,102.63
  5. Step 5: Solve for x
    x = 2,101,102.63/1,662.10
  6. Step 6: Final answer
    x = 1,264.13

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Why These Related Problems?

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