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Finding the Fourth Proportional to 2,607.71, 3,598.71 and 1,428.83

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Solution

The fourth proportional to 2,607.71, 3,598.71 and 1,428.83 is: 1,971.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.71 : 3,598.71 = 1,428.83 : x
  2. Step 2: Convert to fraction form
    2,607.71/3,598.71 = 1,428.83/x
  3. Step 3: Cross multiply
    2,607.71x = 3,598.71 × 1,428.83
  4. Step 4: Simplify right side
    2,607.71x = 5,141,944.81
  5. Step 5: Solve for x
    x = 5,141,944.81/2,607.71
  6. Step 6: Final answer
    x = 1,971.82

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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.