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Finding the Fourth Proportional to 1,603.40, 2,393.44 and 1,409

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Solution

The fourth proportional to 1,603.40, 2,393.44 and 1,409 is: 2,103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.40 : 2,393.44 = 1,409 : x
  2. Step 2: Convert to fraction form
    1,603.40/2,393.44 = 1,409/x
  3. Step 3: Cross multiply
    1,603.40x = 2,393.44 × 1,409
  4. Step 4: Simplify right side
    1,603.40x = 3,372,356.96
  5. Step 5: Solve for x
    x = 3,372,356.96/1,603.40
  6. Step 6: Final answer
    x = 2,103.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.