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Finding the Fourth Proportional to 1,305.18, 1,813.64 and 1,291.86

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Solution

The fourth proportional to 1,305.18, 1,813.64 and 1,291.86 is: 1,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.18 : 1,813.64 = 1,291.86 : x
  2. Step 2: Convert to fraction form
    1,305.18/1,813.64 = 1,291.86/x
  3. Step 3: Cross multiply
    1,305.18x = 1,813.64 × 1,291.86
  4. Step 4: Simplify right side
    1,305.18x = 2,342,962.51
  5. Step 5: Solve for x
    x = 2,342,962.51/1,305.18
  6. Step 6: Final answer
    x = 1,795.13

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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.