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Finding the Fourth Proportional to 2,315.32, 3,472.95 and 583.95

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Solution

The fourth proportional to 2,315.32, 3,472.95 and 583.95 is: 875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,315.32 : 3,472.95 = 583.95 : x
  2. Step 2: Convert to fraction form
    2,315.32/3,472.95 = 583.95/x
  3. Step 3: Cross multiply
    2,315.32x = 3,472.95 × 583.95
  4. Step 4: Simplify right side
    2,315.32x = 2,028,029.15
  5. Step 5: Solve for x
    x = 2,028,029.15/2,315.32
  6. Step 6: Final answer
    x = 875.92

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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.