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Finding the Fourth Proportional to 3,031.52, 4,547.92 and 980.96

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Solution

The fourth proportional to 3,031.52, 4,547.92 and 980.96 is: 1,471.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,031.52 : 4,547.92 = 980.96 : x
  2. Step 2: Convert to fraction form
    3,031.52/4,547.92 = 980.96/x
  3. Step 3: Cross multiply
    3,031.52x = 4,547.92 × 980.96
  4. Step 4: Simplify right side
    3,031.52x = 4,461,327.60
  5. Step 5: Solve for x
    x = 4,461,327.60/3,031.52
  6. Step 6: Final answer
    x = 1,471.65

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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.