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Finding the Fourth Proportional to 2,501.25, 3,752.06 and 962.25

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Solution

The fourth proportional to 2,501.25, 3,752.06 and 962.25 is: 1,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,501.25 : 3,752.06 = 962.25 : x
  2. Step 2: Convert to fraction form
    2,501.25/3,752.06 = 962.25/x
  3. Step 3: Cross multiply
    2,501.25x = 3,752.06 × 962.25
  4. Step 4: Simplify right side
    2,501.25x = 3,610,419.74
  5. Step 5: Solve for x
    x = 3,610,419.74/2,501.25
  6. Step 6: Final answer
    x = 1,443.45

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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.