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Finding the Fourth Proportional to 1,752.96, 2,419.76 and 1,132

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Solution

The fourth proportional to 1,752.96, 2,419.76 and 1,132 is: 1,562.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.96 : 2,419.76 = 1,132 : x
  2. Step 2: Convert to fraction form
    1,752.96/2,419.76 = 1,132/x
  3. Step 3: Cross multiply
    1,752.96x = 2,419.76 × 1,132
  4. Step 4: Simplify right side
    1,752.96x = 2,739,168.32
  5. Step 5: Solve for x
    x = 2,739,168.32/1,752.96
  6. Step 6: Final answer
    x = 1,562.60

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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.