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Finding the Fourth Proportional to 1,642.96, 2,266.24 and 1,053.28

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Solution

The fourth proportional to 1,642.96, 2,266.24 and 1,053.28 is: 1,452.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.96 : 2,266.24 = 1,053.28 : x
  2. Step 2: Convert to fraction form
    1,642.96/2,266.24 = 1,053.28/x
  3. Step 3: Cross multiply
    1,642.96x = 2,266.24 × 1,053.28
  4. Step 4: Simplify right side
    1,642.96x = 2,386,985.27
  5. Step 5: Solve for x
    x = 2,386,985.27/1,642.96
  6. Step 6: Final answer
    x = 1,452.86

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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.