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Finding the Fourth Proportional to 1,590.08, 2,193.68 and 960.75

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Solution

The fourth proportional to 1,590.08, 2,193.68 and 960.75 is: 1,325.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590.08 : 2,193.68 = 960.75 : x
  2. Step 2: Convert to fraction form
    1,590.08/2,193.68 = 960.75/x
  3. Step 3: Cross multiply
    1,590.08x = 2,193.68 × 960.75
  4. Step 4: Simplify right side
    1,590.08x = 2,107,580.46
  5. Step 5: Solve for x
    x = 2,107,580.46/1,590.08
  6. Step 6: Final answer
    x = 1,325.46

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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.