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Finding the Fourth Proportional to 2,637.76, 3,951.60 and 1,598.08

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Solution

The fourth proportional to 2,637.76, 3,951.60 and 1,598.08 is: 2,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.76 : 3,951.60 = 1,598.08 : x
  2. Step 2: Convert to fraction form
    2,637.76/3,951.60 = 1,598.08/x
  3. Step 3: Cross multiply
    2,637.76x = 3,951.60 × 1,598.08
  4. Step 4: Simplify right side
    2,637.76x = 6,314,972.93
  5. Step 5: Solve for x
    x = 6,314,972.93/2,637.76
  6. Step 6: Final answer
    x = 2,394.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.