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Finding the Fourth Proportional to 2,506.83, 3,459.36 and 1,458.87

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Solution

The fourth proportional to 2,506.83, 3,459.36 and 1,458.87 is: 2,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.83 : 3,459.36 = 1,458.87 : x
  2. Step 2: Convert to fraction form
    2,506.83/3,459.36 = 1,458.87/x
  3. Step 3: Cross multiply
    2,506.83x = 3,459.36 × 1,458.87
  4. Step 4: Simplify right side
    2,506.83x = 5,046,756.52
  5. Step 5: Solve for x
    x = 5,046,756.52/2,506.83
  6. Step 6: Final answer
    x = 2,013.20

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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.