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Finding the Fourth Proportional to 1,503.74, 2,255.61 and 987.01

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Solution

The fourth proportional to 1,503.74, 2,255.61 and 987.01 is: 1,480.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.74 : 2,255.61 = 987.01 : x
  2. Step 2: Convert to fraction form
    1,503.74/2,255.61 = 987.01/x
  3. Step 3: Cross multiply
    1,503.74x = 2,255.61 × 987.01
  4. Step 4: Simplify right side
    1,503.74x = 2,226,309.63
  5. Step 5: Solve for x
    x = 2,226,309.63/1,503.74
  6. Step 6: Final answer
    x = 1,480.52

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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.