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Finding the Fourth Proportional to 1,655.53, 2,484.52 and 1,334.77

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Solution

The fourth proportional to 1,655.53, 2,484.52 and 1,334.77 is: 2,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.53 : 2,484.52 = 1,334.77 : x
  2. Step 2: Convert to fraction form
    1,655.53/2,484.52 = 1,334.77/x
  3. Step 3: Cross multiply
    1,655.53x = 2,484.52 × 1,334.77
  4. Step 4: Simplify right side
    1,655.53x = 3,316,253.21
  5. Step 5: Solve for x
    x = 3,316,253.21/1,655.53
  6. Step 6: Final answer
    x = 2,003.14

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Why These Related Problems?

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