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Finding the Fourth Proportional to 1,917.94, 2,646.36 and 1,078.52

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Solution

The fourth proportional to 1,917.94, 2,646.36 and 1,078.52 is: 1,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.94 : 2,646.36 = 1,078.52 : x
  2. Step 2: Convert to fraction form
    1,917.94/2,646.36 = 1,078.52/x
  3. Step 3: Cross multiply
    1,917.94x = 2,646.36 × 1,078.52
  4. Step 4: Simplify right side
    1,917.94x = 2,854,152.19
  5. Step 5: Solve for x
    x = 2,854,152.19/1,917.94
  6. Step 6: Final answer
    x = 1,488.13

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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.