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Finding the Fourth Proportional to 2,001.52, 3,000.12 and 848.08

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Solution

The fourth proportional to 2,001.52, 3,000.12 and 848.08 is: 1,271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.52 : 3,000.12 = 848.08 : x
  2. Step 2: Convert to fraction form
    2,001.52/3,000.12 = 848.08/x
  3. Step 3: Cross multiply
    2,001.52x = 3,000.12 × 848.08
  4. Step 4: Simplify right side
    2,001.52x = 2,544,341.77
  5. Step 5: Solve for x
    x = 2,544,341.77/2,001.52
  6. Step 6: Final answer
    x = 1,271.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.