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Finding the Fourth Proportional to 1,880.00, 2,820.65 and 1,187.15

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Solution

The fourth proportional to 1,880.00, 2,820.65 and 1,187.15 is: 1,781.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.00 : 2,820.65 = 1,187.15 : x
  2. Step 2: Convert to fraction form
    1,880.00/2,820.65 = 1,187.15/x
  3. Step 3: Cross multiply
    1,880.00x = 2,820.65 × 1,187.15
  4. Step 4: Simplify right side
    1,880.00x = 3,348,514.61
  5. Step 5: Solve for x
    x = 3,348,514.61/1,880.00
  6. Step 6: Final answer
    x = 1,781.13

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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.