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Finding the Fourth Proportional to 2,510.52, 3,767.36 and 971.52

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Solution

The fourth proportional to 2,510.52, 3,767.36 and 971.52 is: 1,457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.52 : 3,767.36 = 971.52 : x
  2. Step 2: Convert to fraction form
    2,510.52/3,767.36 = 971.52/x
  3. Step 3: Cross multiply
    2,510.52x = 3,767.36 × 971.52
  4. Step 4: Simplify right side
    2,510.52x = 3,660,065.59
  5. Step 5: Solve for x
    x = 3,660,065.59/2,510.52
  6. Step 6: Final answer
    x = 1,457.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.