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Finding the Fourth Proportional to 1,758.18, 2,426.22 and 972.21

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Solution

The fourth proportional to 1,758.18, 2,426.22 and 972.21 is: 1,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.18 : 2,426.22 = 972.21 : x
  2. Step 2: Convert to fraction form
    1,758.18/2,426.22 = 972.21/x
  3. Step 3: Cross multiply
    1,758.18x = 2,426.22 × 972.21
  4. Step 4: Simplify right side
    1,758.18x = 2,358,795.35
  5. Step 5: Solve for x
    x = 2,358,795.35/1,758.18
  6. Step 6: Final answer
    x = 1,341.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.