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Finding the Fourth Proportional to 2,713.40, 3,740.12 and 1,827.66

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Solution

The fourth proportional to 2,713.40, 3,740.12 and 1,827.66 is: 2,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.40 : 3,740.12 = 1,827.66 : x
  2. Step 2: Convert to fraction form
    2,713.40/3,740.12 = 1,827.66/x
  3. Step 3: Cross multiply
    2,713.40x = 3,740.12 × 1,827.66
  4. Step 4: Simplify right side
    2,713.40x = 6,835,689.74
  5. Step 5: Solve for x
    x = 6,835,689.74/2,713.40
  6. Step 6: Final answer
    x = 2,519.24

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1.5x scale

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.