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Finding the Fourth Proportional to 2,701.53, 3,728.13 and 1,653.39

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Solution

The fourth proportional to 2,701.53, 3,728.13 and 1,653.39 is: 2,281.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.53 : 3,728.13 = 1,653.39 : x
  2. Step 2: Convert to fraction form
    2,701.53/3,728.13 = 1,653.39/x
  3. Step 3: Cross multiply
    2,701.53x = 3,728.13 × 1,653.39
  4. Step 4: Simplify right side
    2,701.53x = 6,164,052.86
  5. Step 5: Solve for x
    x = 6,164,052.86/2,701.53
  6. Step 6: Final answer
    x = 2,281.69

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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.