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Finding the Fourth Proportional to 1,703.32, 2,542.53 and 1,578.12

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Solution

The fourth proportional to 1,703.32, 2,542.53 and 1,578.12 is: 2,355.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.32 : 2,542.53 = 1,578.12 : x
  2. Step 2: Convert to fraction form
    1,703.32/2,542.53 = 1,578.12/x
  3. Step 3: Cross multiply
    1,703.32x = 2,542.53 × 1,578.12
  4. Step 4: Simplify right side
    1,703.32x = 4,012,417.44
  5. Step 5: Solve for x
    x = 4,012,417.44/1,703.32
  6. Step 6: Final answer
    x = 2,355.65

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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.