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Finding the Fourth Proportional to 1,655.91, 2,484.20 and 1,346.96

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Solution

The fourth proportional to 1,655.91, 2,484.20 and 1,346.96 is: 2,020.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.91 : 2,484.20 = 1,346.96 : x
  2. Step 2: Convert to fraction form
    1,655.91/2,484.20 = 1,346.96/x
  3. Step 3: Cross multiply
    1,655.91x = 2,484.20 × 1,346.96
  4. Step 4: Simplify right side
    1,655.91x = 3,346,127.61
  5. Step 5: Solve for x
    x = 3,346,127.61/1,655.91
  6. Step 6: Final answer
    x = 2,020.72

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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.