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Finding the Fourth Proportional to 1,580.80, 2,370.85 and 921.28

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Solution

The fourth proportional to 1,580.80, 2,370.85 and 921.28 is: 1,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.80 : 2,370.85 = 921.28 : x
  2. Step 2: Convert to fraction form
    1,580.80/2,370.85 = 921.28/x
  3. Step 3: Cross multiply
    1,580.80x = 2,370.85 × 921.28
  4. Step 4: Simplify right side
    1,580.80x = 2,184,216.69
  5. Step 5: Solve for x
    x = 2,184,216.69/1,580.80
  6. Step 6: Final answer
    x = 1,381.72

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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.