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Finding the Fourth Proportional to 2,929.84, 4,396.53 and 1,544.15

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Solution

The fourth proportional to 2,929.84, 4,396.53 and 1,544.15 is: 2,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.84 : 4,396.53 = 1,544.15 : x
  2. Step 2: Convert to fraction form
    2,929.84/4,396.53 = 1,544.15/x
  3. Step 3: Cross multiply
    2,929.84x = 4,396.53 × 1,544.15
  4. Step 4: Simplify right side
    2,929.84x = 6,788,918.58
  5. Step 5: Solve for x
    x = 6,788,918.58/2,929.84
  6. Step 6: Final answer
    x = 2,317.17

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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.