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Finding the Fourth Proportional to 3,497.85, 4,826.86 and 1,925.91

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Solution

The fourth proportional to 3,497.85, 4,826.86 and 1,925.91 is: 2,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.85 : 4,826.86 = 1,925.91 : x
  2. Step 2: Convert to fraction form
    3,497.85/4,826.86 = 1,925.91/x
  3. Step 3: Cross multiply
    3,497.85x = 4,826.86 × 1,925.91
  4. Step 4: Simplify right side
    3,497.85x = 9,296,093.13
  5. Step 5: Solve for x
    x = 9,296,093.13/3,497.85
  6. Step 6: Final answer
    x = 2,657.66

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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.