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Finding the Fourth Proportional to 1,503.09, 2,250.65 and 1,209.20

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Solution

The fourth proportional to 1,503.09, 2,250.65 and 1,209.20 is: 1,810.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.09 : 2,250.65 = 1,209.20 : x
  2. Step 2: Convert to fraction form
    1,503.09/2,250.65 = 1,209.20/x
  3. Step 3: Cross multiply
    1,503.09x = 2,250.65 × 1,209.20
  4. Step 4: Simplify right side
    1,503.09x = 2,721,477.75
  5. Step 5: Solve for x
    x = 2,721,477.75/1,503.09
  6. Step 6: Final answer
    x = 1,810.59

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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.