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Finding the Fourth Proportional to 4,178.84, 6,264.58 and 1,580.44

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Solution

The fourth proportional to 4,178.84, 6,264.58 and 1,580.44 is: 2,369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.84 : 6,264.58 = 1,580.44 : x
  2. Step 2: Convert to fraction form
    4,178.84/6,264.58 = 1,580.44/x
  3. Step 3: Cross multiply
    4,178.84x = 6,264.58 × 1,580.44
  4. Step 4: Simplify right side
    4,178.84x = 9,900,792.82
  5. Step 5: Solve for x
    x = 9,900,792.82/4,178.84
  6. Step 6: Final answer
    x = 2,369.27

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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.