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Finding the Fourth Proportional to 2,478.84, 3,420.63 and 1,416.66

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Solution

The fourth proportional to 2,478.84, 3,420.63 and 1,416.66 is: 1,954.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.84 : 3,420.63 = 1,416.66 : x
  2. Step 2: Convert to fraction form
    2,478.84/3,420.63 = 1,416.66/x
  3. Step 3: Cross multiply
    2,478.84x = 3,420.63 × 1,416.66
  4. Step 4: Simplify right side
    2,478.84x = 4,845,869.70
  5. Step 5: Solve for x
    x = 4,845,869.70/2,478.84
  6. Step 6: Final answer
    x = 1,954.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.