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Finding the Fourth Proportional to 2,087, 2,880.42 and 1,259

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Solution

The fourth proportional to 2,087, 2,880.42 and 1,259 is: 1,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087 : 2,880.42 = 1,259 : x
  2. Step 2: Convert to fraction form
    2,087/2,880.42 = 1,259/x
  3. Step 3: Cross multiply
    2,087x = 2,880.42 × 1,259
  4. Step 4: Simplify right side
    2,087x = 3,626,448.78
  5. Step 5: Solve for x
    x = 3,626,448.78/2,087
  6. Step 6: Final answer
    x = 1,737.64

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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.