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Finding the Fourth Proportional to 3,122.95, 4,685.03 and 931.63

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Solution

The fourth proportional to 3,122.95, 4,685.03 and 931.63 is: 1,397.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.95 : 4,685.03 = 931.63 : x
  2. Step 2: Convert to fraction form
    3,122.95/4,685.03 = 931.63/x
  3. Step 3: Cross multiply
    3,122.95x = 4,685.03 × 931.63
  4. Step 4: Simplify right side
    3,122.95x = 4,364,714.50
  5. Step 5: Solve for x
    x = 4,364,714.50/3,122.95
  6. Step 6: Final answer
    x = 1,397.63

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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.