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Finding the Fourth Proportional to 2,345.71, 3,235.85 and 1,902.84

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Solution

The fourth proportional to 2,345.71, 3,235.85 and 1,902.84 is: 2,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.71 : 3,235.85 = 1,902.84 : x
  2. Step 2: Convert to fraction form
    2,345.71/3,235.85 = 1,902.84/x
  3. Step 3: Cross multiply
    2,345.71x = 3,235.85 × 1,902.84
  4. Step 4: Simplify right side
    2,345.71x = 6,157,308.50
  5. Step 5: Solve for x
    x = 6,157,308.50/2,345.71
  6. Step 6: Final answer
    x = 2,624.92

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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.