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Finding the Fourth Proportional to 2,701.65, 3,730.00 and 2,205.47

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Solution

The fourth proportional to 2,701.65, 3,730.00 and 2,205.47 is: 3,044.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.65 : 3,730.00 = 2,205.47 : x
  2. Step 2: Convert to fraction form
    2,701.65/3,730.00 = 2,205.47/x
  3. Step 3: Cross multiply
    2,701.65x = 3,730.00 × 2,205.47
  4. Step 4: Simplify right side
    2,701.65x = 8,226,373.42
  5. Step 5: Solve for x
    x = 8,226,373.42/2,701.65
  6. Step 6: Final answer
    x = 3,044.95

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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.