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Finding the Fourth Proportional to 1,503.57, 2,074.84 and 874.05

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Solution

The fourth proportional to 1,503.57, 2,074.84 and 874.05 is: 1,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.57 : 2,074.84 = 874.05 : x
  2. Step 2: Convert to fraction form
    1,503.57/2,074.84 = 874.05/x
  3. Step 3: Cross multiply
    1,503.57x = 2,074.84 × 874.05
  4. Step 4: Simplify right side
    1,503.57x = 1,813,513.90
  5. Step 5: Solve for x
    x = 1,813,513.90/1,503.57
  6. Step 6: Final answer
    x = 1,206.14

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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.