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Finding the Fourth Proportional to 2,607.68, 3,598.62 and 1,428.86

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Solution

The fourth proportional to 2,607.68, 3,598.62 and 1,428.86 is: 1,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.68 : 3,598.62 = 1,428.86 : x
  2. Step 2: Convert to fraction form
    2,607.68/3,598.62 = 1,428.86/x
  3. Step 3: Cross multiply
    2,607.68x = 3,598.62 × 1,428.86
  4. Step 4: Simplify right side
    2,607.68x = 5,141,924.17
  5. Step 5: Solve for x
    x = 5,141,924.17/2,607.68
  6. Step 6: Final answer
    x = 1,971.84

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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.