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Finding the Fourth Proportional to 2,841.64, 4,258.12 and 1,686.76

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Solution

The fourth proportional to 2,841.64, 4,258.12 and 1,686.76 is: 2,527.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,841.64 : 4,258.12 = 1,686.76 : x
  2. Step 2: Convert to fraction form
    2,841.64/4,258.12 = 1,686.76/x
  3. Step 3: Cross multiply
    2,841.64x = 4,258.12 × 1,686.76
  4. Step 4: Simplify right side
    2,841.64x = 7,182,426.49
  5. Step 5: Solve for x
    x = 7,182,426.49/2,841.64
  6. Step 6: Final answer
    x = 2,527.56

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1.5x scale

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.