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Finding the Fourth Proportional to 3,117.71, 4,677.30 and 1,656.54

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Solution

The fourth proportional to 3,117.71, 4,677.30 and 1,656.54 is: 2,485.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.71 : 4,677.30 = 1,656.54 : x
  2. Step 2: Convert to fraction form
    3,117.71/4,677.30 = 1,656.54/x
  3. Step 3: Cross multiply
    3,117.71x = 4,677.30 × 1,656.54
  4. Step 4: Simplify right side
    3,117.71x = 7,748,134.54
  5. Step 5: Solve for x
    x = 7,748,134.54/3,117.71
  6. Step 6: Final answer
    x = 2,485.20

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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.