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Finding the Fourth Proportional to 2,167.95, 3,252.59 and 870.33

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Solution

The fourth proportional to 2,167.95, 3,252.59 and 870.33 is: 1,305.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.95 : 3,252.59 = 870.33 : x
  2. Step 2: Convert to fraction form
    2,167.95/3,252.59 = 870.33/x
  3. Step 3: Cross multiply
    2,167.95x = 3,252.59 × 870.33
  4. Step 4: Simplify right side
    2,167.95x = 2,830,822.30
  5. Step 5: Solve for x
    x = 2,830,822.30/2,167.95
  6. Step 6: Final answer
    x = 1,305.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.