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Finding the Fourth Proportional to 1,921.72, 2,652.08 and 1,507

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Solution

The fourth proportional to 1,921.72, 2,652.08 and 1,507 is: 2,079.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.72 : 2,652.08 = 1,507 : x
  2. Step 2: Convert to fraction form
    1,921.72/2,652.08 = 1,507/x
  3. Step 3: Cross multiply
    1,921.72x = 2,652.08 × 1,507
  4. Step 4: Simplify right side
    1,921.72x = 3,996,684.56
  5. Step 5: Solve for x
    x = 3,996,684.56/1,921.72
  6. Step 6: Final answer
    x = 2,079.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.