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Finding the Fourth Proportional to 3,497.75, 4,826.90 and 1,925.95

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Solution

The fourth proportional to 3,497.75, 4,826.90 and 1,925.95 is: 2,657.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.75 : 4,826.90 = 1,925.95 : x
  2. Step 2: Convert to fraction form
    3,497.75/4,826.90 = 1,925.95/x
  3. Step 3: Cross multiply
    3,497.75x = 4,826.90 × 1,925.95
  4. Step 4: Simplify right side
    3,497.75x = 9,296,334.29
  5. Step 5: Solve for x
    x = 9,296,334.29/3,497.75
  6. Step 6: Final answer
    x = 2,657.80

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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.