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Finding the Fourth Proportional to 1,580.69, 2,371.32 and 540.45

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Solution

The fourth proportional to 1,580.69, 2,371.32 and 540.45 is: 810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.69 : 2,371.32 = 540.45 : x
  2. Step 2: Convert to fraction form
    1,580.69/2,371.32 = 540.45/x
  3. Step 3: Cross multiply
    1,580.69x = 2,371.32 × 540.45
  4. Step 4: Simplify right side
    1,580.69x = 1,281,579.89
  5. Step 5: Solve for x
    x = 1,281,579.89/1,580.69
  6. Step 6: Final answer
    x = 810.77

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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.