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Finding the Fourth Proportional to 2,377.71, 3,566.16 and 646.34

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Solution

The fourth proportional to 2,377.71, 3,566.16 and 646.34 is: 969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.71 : 3,566.16 = 646.34 : x
  2. Step 2: Convert to fraction form
    2,377.71/3,566.16 = 646.34/x
  3. Step 3: Cross multiply
    2,377.71x = 3,566.16 × 646.34
  4. Step 4: Simplify right side
    2,377.71x = 2,304,934.02
  5. Step 5: Solve for x
    x = 2,304,934.02/2,377.71
  6. Step 6: Final answer
    x = 969.39

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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.