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Finding the Fourth Proportional to 1,509.84, 2,248.56 and 1,402.92

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Solution

The fourth proportional to 1,509.84, 2,248.56 and 1,402.92 is: 2,089.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.84 : 2,248.56 = 1,402.92 : x
  2. Step 2: Convert to fraction form
    1,509.84/2,248.56 = 1,402.92/x
  3. Step 3: Cross multiply
    1,509.84x = 2,248.56 × 1,402.92
  4. Step 4: Simplify right side
    1,509.84x = 3,154,549.80
  5. Step 5: Solve for x
    x = 3,154,549.80/1,509.84
  6. Step 6: Final answer
    x = 2,089.33

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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.