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Finding the Fourth Proportional to 2,607.46, 3,598.31 and 1,428.52

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Solution

The fourth proportional to 2,607.46, 3,598.31 and 1,428.52 is: 1,971.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.46 : 3,598.31 = 1,428.52 : x
  2. Step 2: Convert to fraction form
    2,607.46/3,598.31 = 1,428.52/x
  3. Step 3: Cross multiply
    2,607.46x = 3,598.31 × 1,428.52
  4. Step 4: Simplify right side
    2,607.46x = 5,140,257.80
  5. Step 5: Solve for x
    x = 5,140,257.80/2,607.46
  6. Step 6: Final answer
    x = 1,971.37

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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.