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Finding the Fourth Proportional to 1,758.61, 2,426.81 and 972.61

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Solution

The fourth proportional to 1,758.61, 2,426.81 and 972.61 is: 1,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.61 : 2,426.81 = 972.61 : x
  2. Step 2: Convert to fraction form
    1,758.61/2,426.81 = 972.61/x
  3. Step 3: Cross multiply
    1,758.61x = 2,426.81 × 972.61
  4. Step 4: Simplify right side
    1,758.61x = 2,360,334.21
  5. Step 5: Solve for x
    x = 2,360,334.21/1,758.61
  6. Step 6: Final answer
    x = 1,342.16

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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.