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Finding the Fourth Proportional to 1,345.59, 1,855.85 and 1,083.15

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Solution

The fourth proportional to 1,345.59, 1,855.85 and 1,083.15 is: 1,493.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.59 : 1,855.85 = 1,083.15 : x
  2. Step 2: Convert to fraction form
    1,345.59/1,855.85 = 1,083.15/x
  3. Step 3: Cross multiply
    1,345.59x = 1,855.85 × 1,083.15
  4. Step 4: Simplify right side
    1,345.59x = 2,010,158.51
  5. Step 5: Solve for x
    x = 2,010,158.51/1,345.59
  6. Step 6: Final answer
    x = 1,493.89

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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.