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Finding the Fourth Proportional to 2,177.01, 3,005.91 and 1,652.13

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Solution

The fourth proportional to 2,177.01, 3,005.91 and 1,652.13 is: 2,281.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177.01 : 3,005.91 = 1,652.13 : x
  2. Step 2: Convert to fraction form
    2,177.01/3,005.91 = 1,652.13/x
  3. Step 3: Cross multiply
    2,177.01x = 3,005.91 × 1,652.13
  4. Step 4: Simplify right side
    2,177.01x = 4,966,154.09
  5. Step 5: Solve for x
    x = 4,966,154.09/2,177.01
  6. Step 6: Final answer
    x = 2,281.18

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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.