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Finding the Fourth Proportional to 2,030.01, 3,045.03 and 731.49

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Solution

The fourth proportional to 2,030.01, 3,045.03 and 731.49 is: 1,097.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030.01 : 3,045.03 = 731.49 : x
  2. Step 2: Convert to fraction form
    2,030.01/3,045.03 = 731.49/x
  3. Step 3: Cross multiply
    2,030.01x = 3,045.03 × 731.49
  4. Step 4: Simplify right side
    2,030.01x = 2,227,393.77
  5. Step 5: Solve for x
    x = 2,227,393.77/2,030.01
  6. Step 6: Final answer
    x = 1,097.24

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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.