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Finding the Fourth Proportional to 3,069.17, 4,600.53 and 1,507.01

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Solution

The fourth proportional to 3,069.17, 4,600.53 and 1,507.01 is: 2,258.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,069.17 : 4,600.53 = 1,507.01 : x
  2. Step 2: Convert to fraction form
    3,069.17/4,600.53 = 1,507.01/x
  3. Step 3: Cross multiply
    3,069.17x = 4,600.53 × 1,507.01
  4. Step 4: Simplify right side
    3,069.17x = 6,933,021.71
  5. Step 5: Solve for x
    x = 6,933,021.71/3,069.17
  6. Step 6: Final answer
    x = 2,258.93

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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.