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Finding the Fourth Proportional to 1,345.91, 1,864.85 and 1,316.75

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Solution

The fourth proportional to 1,345.91, 1,864.85 and 1,316.75 is: 1,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.91 : 1,864.85 = 1,316.75 : x
  2. Step 2: Convert to fraction form
    1,345.91/1,864.85 = 1,316.75/x
  3. Step 3: Cross multiply
    1,345.91x = 1,864.85 × 1,316.75
  4. Step 4: Simplify right side
    1,345.91x = 2,455,525.33
  5. Step 5: Solve for x
    x = 2,455,525.33/1,345.91
  6. Step 6: Final answer
    x = 1,824.44

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.