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Finding the Fourth Proportional to 1,580.57, 2,176.25 and 1,530.89

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Solution

The fourth proportional to 1,580.57, 2,176.25 and 1,530.89 is: 2,107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.57 : 2,176.25 = 1,530.89 : x
  2. Step 2: Convert to fraction form
    1,580.57/2,176.25 = 1,530.89/x
  3. Step 3: Cross multiply
    1,580.57x = 2,176.25 × 1,530.89
  4. Step 4: Simplify right side
    1,580.57x = 3,331,591.71
  5. Step 5: Solve for x
    x = 3,331,591.71/1,580.57
  6. Step 6: Final answer
    x = 2,107.84

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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.