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Finding the Fourth Proportional to 1,703.32, 2,546.30 and 1,527.25

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Solution

The fourth proportional to 1,703.32, 2,546.30 and 1,527.25 is: 2,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.32 : 2,546.30 = 1,527.25 : x
  2. Step 2: Convert to fraction form
    1,703.32/2,546.30 = 1,527.25/x
  3. Step 3: Cross multiply
    1,703.32x = 2,546.30 × 1,527.25
  4. Step 4: Simplify right side
    1,703.32x = 3,888,822.67
  5. Step 5: Solve for x
    x = 3,888,822.67/1,703.32
  6. Step 6: Final answer
    x = 2,283.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.