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Finding the Fourth Proportional to 2,506.52, 3,459.19 and 1,458.50

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Solution

The fourth proportional to 2,506.52, 3,459.19 and 1,458.50 is: 2,012.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.52 : 3,459.19 = 1,458.50 : x
  2. Step 2: Convert to fraction form
    2,506.52/3,459.19 = 1,458.50/x
  3. Step 3: Cross multiply
    2,506.52x = 3,459.19 × 1,458.50
  4. Step 4: Simplify right side
    2,506.52x = 5,045,228.62
  5. Step 5: Solve for x
    x = 5,045,228.62/2,506.52
  6. Step 6: Final answer
    x = 2,012.84

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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.