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Finding the Fourth Proportional to 1,554.31, 2,328.51 and 919.18

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Solution

The fourth proportional to 1,554.31, 2,328.51 and 919.18 is: 1,377.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,554.31 : 2,328.51 = 919.18 : x
  2. Step 2: Convert to fraction form
    1,554.31/2,328.51 = 919.18/x
  3. Step 3: Cross multiply
    1,554.31x = 2,328.51 × 919.18
  4. Step 4: Simplify right side
    1,554.31x = 2,140,326.18
  5. Step 5: Solve for x
    x = 2,140,326.18/1,554.31
  6. Step 6: Final answer
    x = 1,377.03

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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.