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Finding the Fourth Proportional to 1,707.42, 2,355.84 and 1,333.74

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Solution

The fourth proportional to 1,707.42, 2,355.84 and 1,333.74 is: 1,840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.42 : 2,355.84 = 1,333.74 : x
  2. Step 2: Convert to fraction form
    1,707.42/2,355.84 = 1,333.74/x
  3. Step 3: Cross multiply
    1,707.42x = 2,355.84 × 1,333.74
  4. Step 4: Simplify right side
    1,707.42x = 3,142,078.04
  5. Step 5: Solve for x
    x = 3,142,078.04/1,707.42
  6. Step 6: Final answer
    x = 1,840.25

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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.