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Finding the Fourth Proportional to 1,699.61, 2,350.08 and 1,480.91

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Solution

The fourth proportional to 1,699.61, 2,350.08 and 1,480.91 is: 2,047.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.61 : 2,350.08 = 1,480.91 : x
  2. Step 2: Convert to fraction form
    1,699.61/2,350.08 = 1,480.91/x
  3. Step 3: Cross multiply
    1,699.61x = 2,350.08 × 1,480.91
  4. Step 4: Simplify right side
    1,699.61x = 3,480,245.22
  5. Step 5: Solve for x
    x = 3,480,245.22/1,699.61
  6. Step 6: Final answer
    x = 2,047.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.