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Finding the Fourth Proportional to 2,185.80, 3,278.40 and 887.40

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Solution

The fourth proportional to 2,185.80, 3,278.40 and 887.40 is: 1,330.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.80 : 3,278.40 = 887.40 : x
  2. Step 2: Convert to fraction form
    2,185.80/3,278.40 = 887.40/x
  3. Step 3: Cross multiply
    2,185.80x = 3,278.40 × 887.40
  4. Step 4: Simplify right side
    2,185.80x = 2,909,252.16
  5. Step 5: Solve for x
    x = 2,909,252.16/2,185.80
  6. Step 6: Final answer
    x = 1,330.98

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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.