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Finding the Fourth Proportional to 1,532.83, 2,300.34 and 608.41

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Solution

The fourth proportional to 1,532.83, 2,300.34 and 608.41 is: 913.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.83 : 2,300.34 = 608.41 : x
  2. Step 2: Convert to fraction form
    1,532.83/2,300.34 = 608.41/x
  3. Step 3: Cross multiply
    1,532.83x = 2,300.34 × 608.41
  4. Step 4: Simplify right side
    1,532.83x = 1,399,549.86
  5. Step 5: Solve for x
    x = 1,399,549.86/1,532.83
  6. Step 6: Final answer
    x = 913.05

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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.