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Finding the Fourth Proportional to 2,473.40, 3,710.40 and 1,156.47

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Solution

The fourth proportional to 2,473.40, 3,710.40 and 1,156.47 is: 1,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.40 : 3,710.40 = 1,156.47 : x
  2. Step 2: Convert to fraction form
    2,473.40/3,710.40 = 1,156.47/x
  3. Step 3: Cross multiply
    2,473.40x = 3,710.40 × 1,156.47
  4. Step 4: Simplify right side
    2,473.40x = 4,290,960.51
  5. Step 5: Solve for x
    x = 4,290,960.51/2,473.40
  6. Step 6: Final answer
    x = 1,734.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.