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Finding the Fourth Proportional to 1,539.84, 2,307.28 and 1,230.08

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Solution

The fourth proportional to 1,539.84, 2,307.28 and 1,230.08 is: 1,843.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.84 : 2,307.28 = 1,230.08 : x
  2. Step 2: Convert to fraction form
    1,539.84/2,307.28 = 1,230.08/x
  3. Step 3: Cross multiply
    1,539.84x = 2,307.28 × 1,230.08
  4. Step 4: Simplify right side
    1,539.84x = 2,838,138.98
  5. Step 5: Solve for x
    x = 2,838,138.98/1,539.84
  6. Step 6: Final answer
    x = 1,843.14

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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.