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Finding the Fourth Proportional to 1,758.44, 2,426.52 and 972.50

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Solution

The fourth proportional to 1,758.44, 2,426.52 and 972.50 is: 1,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.44 : 2,426.52 = 972.50 : x
  2. Step 2: Convert to fraction form
    1,758.44/2,426.52 = 972.50/x
  3. Step 3: Cross multiply
    1,758.44x = 2,426.52 × 972.50
  4. Step 4: Simplify right side
    1,758.44x = 2,359,790.70
  5. Step 5: Solve for x
    x = 2,359,790.70/1,758.44
  6. Step 6: Final answer
    x = 1,341.98

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