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Finding the Fourth Proportional to 1,603.40, 2,211.78 and 1,014.20

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Solution

The fourth proportional to 1,603.40, 2,211.78 and 1,014.20 is: 1,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.40 : 2,211.78 = 1,014.20 : x
  2. Step 2: Convert to fraction form
    1,603.40/2,211.78 = 1,014.20/x
  3. Step 3: Cross multiply
    1,603.40x = 2,211.78 × 1,014.20
  4. Step 4: Simplify right side
    1,603.40x = 2,243,187.28
  5. Step 5: Solve for x
    x = 2,243,187.28/1,603.40
  6. Step 6: Final answer
    x = 1,399.02

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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.