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Finding the Fourth Proportional to 3,160.71, 4,740.69 and 970.95

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Solution

The fourth proportional to 3,160.71, 4,740.69 and 970.95 is: 1,456.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160.71 : 4,740.69 = 970.95 : x
  2. Step 2: Convert to fraction form
    3,160.71/4,740.69 = 970.95/x
  3. Step 3: Cross multiply
    3,160.71x = 4,740.69 × 970.95
  4. Step 4: Simplify right side
    3,160.71x = 4,602,972.96
  5. Step 5: Solve for x
    x = 4,602,972.96/3,160.71
  6. Step 6: Final answer
    x = 1,456.31

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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.