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Finding the Fourth Proportional to 1,345.14, 1,854.90 and 872.51

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Solution

The fourth proportional to 1,345.14, 1,854.90 and 872.51 is: 1,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.14 : 1,854.90 = 872.51 : x
  2. Step 2: Convert to fraction form
    1,345.14/1,854.90 = 872.51/x
  3. Step 3: Cross multiply
    1,345.14x = 1,854.90 × 872.51
  4. Step 4: Simplify right side
    1,345.14x = 1,618,418.80
  5. Step 5: Solve for x
    x = 1,618,418.80/1,345.14
  6. Step 6: Final answer
    x = 1,203.16

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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.