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Finding the Fourth Proportional to 1,703.80, 2,555.15 and 549.28

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Solution

The fourth proportional to 1,703.80, 2,555.15 and 549.28 is: 823.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,703.80 : 2,555.15 = 549.28 : x
  2. Step 2: Convert to fraction form
    1,703.80/2,555.15 = 549.28/x
  3. Step 3: Cross multiply
    1,703.80x = 2,555.15 × 549.28
  4. Step 4: Simplify right side
    1,703.80x = 1,403,493.24
  5. Step 5: Solve for x
    x = 1,403,493.24/1,703.80
  6. Step 6: Final answer
    x = 823.74

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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.