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Finding the Fourth Proportional to 1,799.42, 2,699.53 and 1,301.47

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Solution

The fourth proportional to 1,799.42, 2,699.53 and 1,301.47 is: 1,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.42 : 2,699.53 = 1,301.47 : x
  2. Step 2: Convert to fraction form
    1,799.42/2,699.53 = 1,301.47/x
  3. Step 3: Cross multiply
    1,799.42x = 2,699.53 × 1,301.47
  4. Step 4: Simplify right side
    1,799.42x = 3,513,347.31
  5. Step 5: Solve for x
    x = 3,513,347.31/1,799.42
  6. Step 6: Final answer
    x = 1,952.49

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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.