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Finding the Fourth Proportional to 1,591.10, 2,383.56 and 895.65

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Solution

The fourth proportional to 1,591.10, 2,383.56 and 895.65 is: 1,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.10 : 2,383.56 = 895.65 : x
  2. Step 2: Convert to fraction form
    1,591.10/2,383.56 = 895.65/x
  3. Step 3: Cross multiply
    1,591.10x = 2,383.56 × 895.65
  4. Step 4: Simplify right side
    1,591.10x = 2,134,835.51
  5. Step 5: Solve for x
    x = 2,134,835.51/1,591.10
  6. Step 6: Final answer
    x = 1,341.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.