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Finding the Fourth Proportional to 1,503.24, 2,073.72 and 914.16

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Solution

The fourth proportional to 1,503.24, 2,073.72 and 914.16 is: 1,261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.24 : 2,073.72 = 914.16 : x
  2. Step 2: Convert to fraction form
    1,503.24/2,073.72 = 914.16/x
  3. Step 3: Cross multiply
    1,503.24x = 2,073.72 × 914.16
  4. Step 4: Simplify right side
    1,503.24x = 1,895,711.88
  5. Step 5: Solve for x
    x = 1,895,711.88/1,503.24
  6. Step 6: Final answer
    x = 1,261.08

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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.