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Finding the Fourth Proportional to 2,470.75, 3,409.64 and 1,423.02

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Solution

The fourth proportional to 2,470.75, 3,409.64 and 1,423.02 is: 1,963.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.75 : 3,409.64 = 1,423.02 : x
  2. Step 2: Convert to fraction form
    2,470.75/3,409.64 = 1,423.02/x
  3. Step 3: Cross multiply
    2,470.75x = 3,409.64 × 1,423.02
  4. Step 4: Simplify right side
    2,470.75x = 4,851,985.91
  5. Step 5: Solve for x
    x = 4,851,985.91/2,470.75
  6. Step 6: Final answer
    x = 1,963.77

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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.