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Finding the Fourth Proportional to 1,708.79, 2,356.23 and 1,354.10

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Solution

The fourth proportional to 1,708.79, 2,356.23 and 1,354.10 is: 1,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.79 : 2,356.23 = 1,354.10 : x
  2. Step 2: Convert to fraction form
    1,708.79/2,356.23 = 1,354.10/x
  3. Step 3: Cross multiply
    1,708.79x = 2,356.23 × 1,354.10
  4. Step 4: Simplify right side
    1,708.79x = 3,190,559.26
  5. Step 5: Solve for x
    x = 3,190,559.26/1,708.79
  6. Step 6: Final answer
    x = 1,867.15

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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.