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Finding the Fourth Proportional to 1,932.39, 2,897.15 and 959.18

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Solution

The fourth proportional to 1,932.39, 2,897.15 and 959.18 is: 1,438.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.39 : 2,897.15 = 959.18 : x
  2. Step 2: Convert to fraction form
    1,932.39/2,897.15 = 959.18/x
  3. Step 3: Cross multiply
    1,932.39x = 2,897.15 × 959.18
  4. Step 4: Simplify right side
    1,932.39x = 2,778,888.34
  5. Step 5: Solve for x
    x = 2,778,888.34/1,932.39
  6. Step 6: Final answer
    x = 1,438.06

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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.