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Finding the Fourth Proportional to 3,157.16, 4,356.91 and 1,740.90

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Solution

The fourth proportional to 3,157.16, 4,356.91 and 1,740.90 is: 2,402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,157.16 : 4,356.91 = 1,740.90 : x
  2. Step 2: Convert to fraction form
    3,157.16/4,356.91 = 1,740.90/x
  3. Step 3: Cross multiply
    3,157.16x = 4,356.91 × 1,740.90
  4. Step 4: Simplify right side
    3,157.16x = 7,584,914.13
  5. Step 5: Solve for x
    x = 7,584,914.13/3,157.16
  6. Step 6: Final answer
    x = 2,402.45

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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.