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Finding the Fourth Proportional to 2,109.90, 2,903.85 and 1,549.48

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Solution

The fourth proportional to 2,109.90, 2,903.85 and 1,549.48 is: 2,132.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.90 : 2,903.85 = 1,549.48 : x
  2. Step 2: Convert to fraction form
    2,109.90/2,903.85 = 1,549.48/x
  3. Step 3: Cross multiply
    2,109.90x = 2,903.85 × 1,549.48
  4. Step 4: Simplify right side
    2,109.90x = 4,499,457.50
  5. Step 5: Solve for x
    x = 4,499,457.50/2,109.90
  6. Step 6: Final answer
    x = 2,132.55

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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.