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Finding the Fourth Proportional to 1,912.64, 2,875.56 and 1,506.72

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Solution

The fourth proportional to 1,912.64, 2,875.56 and 1,506.72 is: 2,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,912.64 : 2,875.56 = 1,506.72 : x
  2. Step 2: Convert to fraction form
    1,912.64/2,875.56 = 1,506.72/x
  3. Step 3: Cross multiply
    1,912.64x = 2,875.56 × 1,506.72
  4. Step 4: Simplify right side
    1,912.64x = 4,332,663.76
  5. Step 5: Solve for x
    x = 4,332,663.76/1,912.64
  6. Step 6: Final answer
    x = 2,265.28

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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.