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Finding the Fourth Proportional to 1,815.75, 2,505.74 and 987.75

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Solution

The fourth proportional to 1,815.75, 2,505.74 and 987.75 is: 1,363.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.75 : 2,505.74 = 987.75 : x
  2. Step 2: Convert to fraction form
    1,815.75/2,505.74 = 987.75/x
  3. Step 3: Cross multiply
    1,815.75x = 2,505.74 × 987.75
  4. Step 4: Simplify right side
    1,815.75x = 2,475,039.75
  5. Step 5: Solve for x
    x = 2,475,039.75/1,815.75
  6. Step 6: Final answer
    x = 1,363.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.