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Finding the Fourth Proportional to 1,557.87, 2,150.64 and 968.60

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Solution

The fourth proportional to 1,557.87, 2,150.64 and 968.60 is: 1,337.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.87 : 2,150.64 = 968.60 : x
  2. Step 2: Convert to fraction form
    1,557.87/2,150.64 = 968.60/x
  3. Step 3: Cross multiply
    1,557.87x = 2,150.64 × 968.60
  4. Step 4: Simplify right side
    1,557.87x = 2,083,099.15
  5. Step 5: Solve for x
    x = 2,083,099.15/1,557.87
  6. Step 6: Final answer
    x = 1,337.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.