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Finding the Fourth Proportional to 1,655.82, 2,484 and 615.96

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Solution

The fourth proportional to 1,655.82, 2,484 and 615.96 is: 924.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.82 : 2,484 = 615.96 : x
  2. Step 2: Convert to fraction form
    1,655.82/2,484 = 615.96/x
  3. Step 3: Cross multiply
    1,655.82x = 2,484 × 615.96
  4. Step 4: Simplify right side
    1,655.82x = 1,530,044.64
  5. Step 5: Solve for x
    x = 1,530,044.64/1,655.82
  6. Step 6: Final answer
    x = 924.04

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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.