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Finding the Fourth Proportional to 1,482.84, 2,044.05 and 1,109.25

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Solution

The fourth proportional to 1,482.84, 2,044.05 and 1,109.25 is: 1,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.84 : 2,044.05 = 1,109.25 : x
  2. Step 2: Convert to fraction form
    1,482.84/2,044.05 = 1,109.25/x
  3. Step 3: Cross multiply
    1,482.84x = 2,044.05 × 1,109.25
  4. Step 4: Simplify right side
    1,482.84x = 2,267,362.46
  5. Step 5: Solve for x
    x = 2,267,362.46/1,482.84
  6. Step 6: Final answer
    x = 1,529.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.