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Finding the Fourth Proportional to 1,875.68, 2,809.20 and 1,052.72

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Solution

The fourth proportional to 1,875.68, 2,809.20 and 1,052.72 is: 1,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.68 : 2,809.20 = 1,052.72 : x
  2. Step 2: Convert to fraction form
    1,875.68/2,809.20 = 1,052.72/x
  3. Step 3: Cross multiply
    1,875.68x = 2,809.20 × 1,052.72
  4. Step 4: Simplify right side
    1,875.68x = 2,957,301.02
  5. Step 5: Solve for x
    x = 2,957,301.02/1,875.68
  6. Step 6: Final answer
    x = 1,576.66

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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.