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Finding the Fourth Proportional to 1,461.08, 2,016.88 and 988.75

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Solution

The fourth proportional to 1,461.08, 2,016.88 and 988.75 is: 1,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.08 : 2,016.88 = 988.75 : x
  2. Step 2: Convert to fraction form
    1,461.08/2,016.88 = 988.75/x
  3. Step 3: Cross multiply
    1,461.08x = 2,016.88 × 988.75
  4. Step 4: Simplify right side
    1,461.08x = 1,994,190.10
  5. Step 5: Solve for x
    x = 1,994,190.10/1,461.08
  6. Step 6: Final answer
    x = 1,364.87

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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.