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Finding the Fourth Proportional to 2,473.02, 3,710.34 and 1,318.50

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Solution

The fourth proportional to 2,473.02, 3,710.34 and 1,318.50 is: 1,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.02 : 3,710.34 = 1,318.50 : x
  2. Step 2: Convert to fraction form
    2,473.02/3,710.34 = 1,318.50/x
  3. Step 3: Cross multiply
    2,473.02x = 3,710.34 × 1,318.50
  4. Step 4: Simplify right side
    2,473.02x = 4,892,083.29
  5. Step 5: Solve for x
    x = 4,892,083.29/2,473.02
  6. Step 6: Final answer
    x = 1,978.18

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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.