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Finding the Fourth Proportional to 1,655.29, 2,484.14 and 1,334.53

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Solution

The fourth proportional to 1,655.29, 2,484.14 and 1,334.53 is: 2,002.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.29 : 2,484.14 = 1,334.53 : x
  2. Step 2: Convert to fraction form
    1,655.29/2,484.14 = 1,334.53/x
  3. Step 3: Cross multiply
    1,655.29x = 2,484.14 × 1,334.53
  4. Step 4: Simplify right side
    1,655.29x = 3,315,159.35
  5. Step 5: Solve for x
    x = 3,315,159.35/1,655.29
  6. Step 6: Final answer
    x = 2,002.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.