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Finding the Fourth Proportional to 3,017.60, 4,164.06 and 1,691

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Solution

The fourth proportional to 3,017.60, 4,164.06 and 1,691 is: 2,333.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.60 : 4,164.06 = 1,691 : x
  2. Step 2: Convert to fraction form
    3,017.60/4,164.06 = 1,691/x
  3. Step 3: Cross multiply
    3,017.60x = 4,164.06 × 1,691
  4. Step 4: Simplify right side
    3,017.60x = 7,041,425.46
  5. Step 5: Solve for x
    x = 7,041,425.46/3,017.60
  6. Step 6: Final answer
    x = 2,333.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.