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Finding the Fourth Proportional to 2,506.63, 3,459.26 and 1,549.75

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Solution

The fourth proportional to 2,506.63, 3,459.26 and 1,549.75 is: 2,138.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,506.63 : 3,459.26 = 1,549.75 : x
  2. Step 2: Convert to fraction form
    2,506.63/3,459.26 = 1,549.75/x
  3. Step 3: Cross multiply
    2,506.63x = 3,459.26 × 1,549.75
  4. Step 4: Simplify right side
    2,506.63x = 5,360,988.19
  5. Step 5: Solve for x
    x = 5,360,988.19/2,506.63
  6. Step 6: Final answer
    x = 2,138.72

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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.