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Finding the Fourth Proportional to 2,265.01, 3,397.68 and 783.62

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Solution

The fourth proportional to 2,265.01, 3,397.68 and 783.62 is: 1,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265.01 : 3,397.68 = 783.62 : x
  2. Step 2: Convert to fraction form
    2,265.01/3,397.68 = 783.62/x
  3. Step 3: Cross multiply
    2,265.01x = 3,397.68 × 783.62
  4. Step 4: Simplify right side
    2,265.01x = 2,662,490.00
  5. Step 5: Solve for x
    x = 2,662,490.00/2,265.01
  6. Step 6: Final answer
    x = 1,175.49

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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.