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Finding the Fourth Proportional to 1,521.62, 2,269.07 and 1,507.76

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Solution

The fourth proportional to 1,521.62, 2,269.07 and 1,507.76 is: 2,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.62 : 2,269.07 = 1,507.76 : x
  2. Step 2: Convert to fraction form
    1,521.62/2,269.07 = 1,507.76/x
  3. Step 3: Cross multiply
    1,521.62x = 2,269.07 × 1,507.76
  4. Step 4: Simplify right side
    1,521.62x = 3,421,208.26
  5. Step 5: Solve for x
    x = 3,421,208.26/1,521.62
  6. Step 6: Final answer
    x = 2,248.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.