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Finding the Fourth Proportional to 2,173.64, 3,260.62 and 875.12

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Solution

The fourth proportional to 2,173.64, 3,260.62 and 875.12 is: 1,312.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.64 : 3,260.62 = 875.12 : x
  2. Step 2: Convert to fraction form
    2,173.64/3,260.62 = 875.12/x
  3. Step 3: Cross multiply
    2,173.64x = 3,260.62 × 875.12
  4. Step 4: Simplify right side
    2,173.64x = 2,853,433.77
  5. Step 5: Solve for x
    x = 2,853,433.77/2,173.64
  6. Step 6: Final answer
    x = 1,312.74

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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.