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Finding the Fourth Proportional to 1,557.83, 2,149.71 and 968.35

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Solution

The fourth proportional to 1,557.83, 2,149.71 and 968.35 is: 1,336.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.83 : 2,149.71 = 968.35 : x
  2. Step 2: Convert to fraction form
    1,557.83/2,149.71 = 968.35/x
  3. Step 3: Cross multiply
    1,557.83x = 2,149.71 × 968.35
  4. Step 4: Simplify right side
    1,557.83x = 2,081,671.68
  5. Step 5: Solve for x
    x = 2,081,671.68/1,557.83
  6. Step 6: Final answer
    x = 1,336.26

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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.