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Finding the Fourth Proportional to 2,478.69, 3,420.69 and 1,416.63

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Solution

The fourth proportional to 2,478.69, 3,420.69 and 1,416.63 is: 1,955.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,478.69 : 3,420.69 = 1,416.63 : x
  2. Step 2: Convert to fraction form
    2,478.69/3,420.69 = 1,416.63/x
  3. Step 3: Cross multiply
    2,478.69x = 3,420.69 × 1,416.63
  4. Step 4: Simplify right side
    2,478.69x = 4,845,834.97
  5. Step 5: Solve for x
    x = 4,845,834.97/2,478.69
  6. Step 6: Final answer
    x = 1,955.00

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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.