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Finding the Fourth Proportional to 2,646.42, 3,970.17 and 891.36

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Solution

The fourth proportional to 2,646.42, 3,970.17 and 891.36 is: 1,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.42 : 3,970.17 = 891.36 : x
  2. Step 2: Convert to fraction form
    2,646.42/3,970.17 = 891.36/x
  3. Step 3: Cross multiply
    2,646.42x = 3,970.17 × 891.36
  4. Step 4: Simplify right side
    2,646.42x = 3,538,832.50
  5. Step 5: Solve for x
    x = 3,538,832.50/2,646.42
  6. Step 6: Final answer
    x = 1,337.21

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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.