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Finding the Fourth Proportional to 2,109.52, 3,145.86 and 2,010.16

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Solution

The fourth proportional to 2,109.52, 3,145.86 and 2,010.16 is: 2,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.52 : 3,145.86 = 2,010.16 : x
  2. Step 2: Convert to fraction form
    2,109.52/3,145.86 = 2,010.16/x
  3. Step 3: Cross multiply
    2,109.52x = 3,145.86 × 2,010.16
  4. Step 4: Simplify right side
    2,109.52x = 6,323,681.94
  5. Step 5: Solve for x
    x = 6,323,681.94/2,109.52
  6. Step 6: Final answer
    x = 2,997.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.