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Finding the Fourth Proportional to 2,415.74, 3,624.17 and 935.16

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Solution

The fourth proportional to 2,415.74, 3,624.17 and 935.16 is: 1,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,415.74 : 3,624.17 = 935.16 : x
  2. Step 2: Convert to fraction form
    2,415.74/3,624.17 = 935.16/x
  3. Step 3: Cross multiply
    2,415.74x = 3,624.17 × 935.16
  4. Step 4: Simplify right side
    2,415.74x = 3,389,178.82
  5. Step 5: Solve for x
    x = 3,389,178.82/2,415.74
  6. Step 6: Final answer
    x = 1,402.96

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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.