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Finding the Fourth Proportional to 1,580.10, 2,370.28 and 963.48

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Solution

The fourth proportional to 1,580.10, 2,370.28 and 963.48 is: 1,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.10 : 2,370.28 = 963.48 : x
  2. Step 2: Convert to fraction form
    1,580.10/2,370.28 = 963.48/x
  3. Step 3: Cross multiply
    1,580.10x = 2,370.28 × 963.48
  4. Step 4: Simplify right side
    1,580.10x = 2,283,717.37
  5. Step 5: Solve for x
    x = 2,283,717.37/1,580.10
  6. Step 6: Final answer
    x = 1,445.30

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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.