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Finding the Fourth Proportional to 1,752, 2,417.79 and 1,132.08

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Solution

The fourth proportional to 1,752, 2,417.79 and 1,132.08 is: 1,562.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752 : 2,417.79 = 1,132.08 : x
  2. Step 2: Convert to fraction form
    1,752/2,417.79 = 1,132.08/x
  3. Step 3: Cross multiply
    1,752x = 2,417.79 × 1,132.08
  4. Step 4: Simplify right side
    1,752x = 2,737,131.70
  5. Step 5: Solve for x
    x = 2,737,131.70/1,752
  6. Step 6: Final answer
    x = 1,562.29

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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.