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Finding the Fourth Proportional to 3,001.01, 4,146.47 and 2,160.05

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Solution

The fourth proportional to 3,001.01, 4,146.47 and 2,160.05 is: 2,984.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.01 : 4,146.47 = 2,160.05 : x
  2. Step 2: Convert to fraction form
    3,001.01/4,146.47 = 2,160.05/x
  3. Step 3: Cross multiply
    3,001.01x = 4,146.47 × 2,160.05
  4. Step 4: Simplify right side
    3,001.01x = 8,956,582.52
  5. Step 5: Solve for x
    x = 8,956,582.52/3,001.01
  6. Step 6: Final answer
    x = 2,984.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.