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Finding the Fourth Proportional to 3,071.59, 4,604.89 and 962.13

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Solution

The fourth proportional to 3,071.59, 4,604.89 and 962.13 is: 1,442.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,071.59 : 4,604.89 = 962.13 : x
  2. Step 2: Convert to fraction form
    3,071.59/4,604.89 = 962.13/x
  3. Step 3: Cross multiply
    3,071.59x = 4,604.89 × 962.13
  4. Step 4: Simplify right side
    3,071.59x = 4,430,502.82
  5. Step 5: Solve for x
    x = 4,430,502.82/3,071.59
  6. Step 6: Final answer
    x = 1,442.41

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1.5x scale

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.