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Finding the Fourth Proportional to 1,728.48, 2,594.88 and 1,603.20

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Solution

The fourth proportional to 1,728.48, 2,594.88 and 1,603.20 is: 2,406.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.48 : 2,594.88 = 1,603.20 : x
  2. Step 2: Convert to fraction form
    1,728.48/2,594.88 = 1,603.20/x
  3. Step 3: Cross multiply
    1,728.48x = 2,594.88 × 1,603.20
  4. Step 4: Simplify right side
    1,728.48x = 4,160,111.62
  5. Step 5: Solve for x
    x = 4,160,111.62/1,728.48
  6. Step 6: Final answer
    x = 2,406.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.