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Finding the Fourth Proportional to 1,597.60, 2,398.20 and 948.70

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Solution

The fourth proportional to 1,597.60, 2,398.20 and 948.70 is: 1,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.60 : 2,398.20 = 948.70 : x
  2. Step 2: Convert to fraction form
    1,597.60/2,398.20 = 948.70/x
  3. Step 3: Cross multiply
    1,597.60x = 2,398.20 × 948.70
  4. Step 4: Simplify right side
    1,597.60x = 2,275,172.34
  5. Step 5: Solve for x
    x = 2,275,172.34/1,597.60
  6. Step 6: Final answer
    x = 1,424.12

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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.