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Finding the Fourth Proportional to 3,314.66, 4,575.75 and 1,970.18

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Solution

The fourth proportional to 3,314.66, 4,575.75 and 1,970.18 is: 2,719.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.66 : 4,575.75 = 1,970.18 : x
  2. Step 2: Convert to fraction form
    3,314.66/4,575.75 = 1,970.18/x
  3. Step 3: Cross multiply
    3,314.66x = 4,575.75 × 1,970.18
  4. Step 4: Simplify right side
    3,314.66x = 9,015,051.14
  5. Step 5: Solve for x
    x = 9,015,051.14/3,314.66
  6. Step 6: Final answer
    x = 2,719.75

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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.