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Finding the Fourth Proportional to 3,497.68, 4,827 and 1,925.80

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Solution

The fourth proportional to 3,497.68, 4,827 and 1,925.80 is: 2,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.68 : 4,827 = 1,925.80 : x
  2. Step 2: Convert to fraction form
    3,497.68/4,827 = 1,925.80/x
  3. Step 3: Cross multiply
    3,497.68x = 4,827 × 1,925.80
  4. Step 4: Simplify right side
    3,497.68x = 9,295,836.60
  5. Step 5: Solve for x
    x = 9,295,836.60/3,497.68
  6. Step 6: Final answer
    x = 2,657.71

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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.