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Finding the Fourth Proportional to 4,523.90, 6,788.00 and 1,603.58

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Solution

The fourth proportional to 4,523.90, 6,788.00 and 1,603.58 is: 2,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,523.90 : 6,788.00 = 1,603.58 : x
  2. Step 2: Convert to fraction form
    4,523.90/6,788.00 = 1,603.58/x
  3. Step 3: Cross multiply
    4,523.90x = 6,788.00 × 1,603.58
  4. Step 4: Simplify right side
    4,523.90x = 10,885,071.11
  5. Step 5: Solve for x
    x = 10,885,071.11/4,523.90
  6. Step 6: Final answer
    x = 2,406.13

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