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Finding the Fourth Proportional to 1,594.07, 2,200.41 and 931.13

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Solution

The fourth proportional to 1,594.07, 2,200.41 and 931.13 is: 1,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.07 : 2,200.41 = 931.13 : x
  2. Step 2: Convert to fraction form
    1,594.07/2,200.41 = 931.13/x
  3. Step 3: Cross multiply
    1,594.07x = 2,200.41 × 931.13
  4. Step 4: Simplify right side
    1,594.07x = 2,048,867.76
  5. Step 5: Solve for x
    x = 2,048,867.76/1,594.07
  6. Step 6: Final answer
    x = 1,285.31

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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.