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Finding the Fourth Proportional to 2,434.48, 3,652.14 and 1,047.88

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Solution

The fourth proportional to 2,434.48, 3,652.14 and 1,047.88 is: 1,572.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,434.48 : 3,652.14 = 1,047.88 : x
  2. Step 2: Convert to fraction form
    2,434.48/3,652.14 = 1,047.88/x
  3. Step 3: Cross multiply
    2,434.48x = 3,652.14 × 1,047.88
  4. Step 4: Simplify right side
    2,434.48x = 3,827,004.46
  5. Step 5: Solve for x
    x = 3,827,004.46/2,434.48
  6. Step 6: Final answer
    x = 1,572.00

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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.