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Finding the Fourth Proportional to 2,404.71, 3,607.07 and 1,106.01

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Solution

The fourth proportional to 2,404.71, 3,607.07 and 1,106.01 is: 1,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.71 : 3,607.07 = 1,106.01 : x
  2. Step 2: Convert to fraction form
    2,404.71/3,607.07 = 1,106.01/x
  3. Step 3: Cross multiply
    2,404.71x = 3,607.07 × 1,106.01
  4. Step 4: Simplify right side
    2,404.71x = 3,989,449.96
  5. Step 5: Solve for x
    x = 3,989,449.96/2,404.71
  6. Step 6: Final answer
    x = 1,659.02

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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.