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Finding the Fourth Proportional to 1,742.42, 2,404.44 and 986.18

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Solution

The fourth proportional to 1,742.42, 2,404.44 and 986.18 is: 1,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.42 : 2,404.44 = 986.18 : x
  2. Step 2: Convert to fraction form
    1,742.42/2,404.44 = 986.18/x
  3. Step 3: Cross multiply
    1,742.42x = 2,404.44 × 986.18
  4. Step 4: Simplify right side
    1,742.42x = 2,371,210.64
  5. Step 5: Solve for x
    x = 2,371,210.64/1,742.42
  6. Step 6: Final answer
    x = 1,360.87

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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.