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Finding the Fourth Proportional to 1,490.19, 2,230.65 and 1,100.63

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Solution

The fourth proportional to 1,490.19, 2,230.65 and 1,100.63 is: 1,647.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.19 : 2,230.65 = 1,100.63 : x
  2. Step 2: Convert to fraction form
    1,490.19/2,230.65 = 1,100.63/x
  3. Step 3: Cross multiply
    1,490.19x = 2,230.65 × 1,100.63
  4. Step 4: Simplify right side
    1,490.19x = 2,455,109.16
  5. Step 5: Solve for x
    x = 2,455,109.16/1,490.19
  6. Step 6: Final answer
    x = 1,647.51

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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.