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Finding the Fourth Proportional to 3,156.64, 4,358.64 and 2,566.24

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Solution

The fourth proportional to 3,156.64, 4,358.64 and 2,566.24 is: 3,543.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.64 : 4,358.64 = 2,566.24 : x
  2. Step 2: Convert to fraction form
    3,156.64/4,358.64 = 2,566.24/x
  3. Step 3: Cross multiply
    3,156.64x = 4,358.64 × 2,566.24
  4. Step 4: Simplify right side
    3,156.64x = 11,185,316.31
  5. Step 5: Solve for x
    x = 11,185,316.31/3,156.64
  6. Step 6: Final answer
    x = 3,543.42

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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.