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Finding the Fourth Proportional to 1,511.91, 2,083.46 and 987.03

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Solution

The fourth proportional to 1,511.91, 2,083.46 and 987.03 is: 1,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.91 : 2,083.46 = 987.03 : x
  2. Step 2: Convert to fraction form
    1,511.91/2,083.46 = 987.03/x
  3. Step 3: Cross multiply
    1,511.91x = 2,083.46 × 987.03
  4. Step 4: Simplify right side
    1,511.91x = 2,056,432.59
  5. Step 5: Solve for x
    x = 2,056,432.59/1,511.91
  6. Step 6: Final answer
    x = 1,360.16

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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.