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Finding the Fourth Proportional to 1,488.01, 2,230.19 and 1,054.25

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Solution

The fourth proportional to 1,488.01, 2,230.19 and 1,054.25 is: 1,580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488.01 : 2,230.19 = 1,054.25 : x
  2. Step 2: Convert to fraction form
    1,488.01/2,230.19 = 1,054.25/x
  3. Step 3: Cross multiply
    1,488.01x = 2,230.19 × 1,054.25
  4. Step 4: Simplify right side
    1,488.01x = 2,351,172.54
  5. Step 5: Solve for x
    x = 2,351,172.54/1,488.01
  6. Step 6: Final answer
    x = 1,580.08

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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.