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Finding the Fourth Proportional to 3,140.74, 4,710.54 and 1,192.48

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Solution

The fourth proportional to 3,140.74, 4,710.54 and 1,192.48 is: 1,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.74 : 4,710.54 = 1,192.48 : x
  2. Step 2: Convert to fraction form
    3,140.74/4,710.54 = 1,192.48/x
  3. Step 3: Cross multiply
    3,140.74x = 4,710.54 × 1,192.48
  4. Step 4: Simplify right side
    3,140.74x = 5,617,224.74
  5. Step 5: Solve for x
    x = 5,617,224.74/3,140.74
  6. Step 6: Final answer
    x = 1,788.50

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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.