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Finding the Fourth Proportional to 3,130.25, 4,693.95 and 1,488.78

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Solution

The fourth proportional to 3,130.25, 4,693.95 and 1,488.78 is: 2,232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.25 : 4,693.95 = 1,488.78 : x
  2. Step 2: Convert to fraction form
    3,130.25/4,693.95 = 1,488.78/x
  3. Step 3: Cross multiply
    3,130.25x = 4,693.95 × 1,488.78
  4. Step 4: Simplify right side
    3,130.25x = 6,988,258.88
  5. Step 5: Solve for x
    x = 6,988,258.88/3,130.25
  6. Step 6: Final answer
    x = 2,232.50

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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.