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Finding the Fourth Proportional to 1,753.42, 2,422.92 and 1,501.30

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Solution

The fourth proportional to 1,753.42, 2,422.92 and 1,501.30 is: 2,074.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.42 : 2,422.92 = 1,501.30 : x
  2. Step 2: Convert to fraction form
    1,753.42/2,422.92 = 1,501.30/x
  3. Step 3: Cross multiply
    1,753.42x = 2,422.92 × 1,501.30
  4. Step 4: Simplify right side
    1,753.42x = 3,637,510.17
  5. Step 5: Solve for x
    x = 3,637,510.17/1,753.42
  6. Step 6: Final answer
    x = 2,074.53

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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.