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Finding the Fourth Proportional to 2,710.64, 3,717.80 and 2,506.52

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Solution

The fourth proportional to 2,710.64, 3,717.80 and 2,506.52 is: 3,437.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,710.64 : 3,717.80 = 2,506.52 : x
  2. Step 2: Convert to fraction form
    2,710.64/3,717.80 = 2,506.52/x
  3. Step 3: Cross multiply
    2,710.64x = 3,717.80 × 2,506.52
  4. Step 4: Simplify right side
    2,710.64x = 9,318,740.06
  5. Step 5: Solve for x
    x = 9,318,740.06/2,710.64
  6. Step 6: Final answer
    x = 3,437.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.