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Finding the Fourth Proportional to 3,314.61, 4,574.08 and 1,802.12

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Solution

The fourth proportional to 3,314.61, 4,574.08 and 1,802.12 is: 2,486.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.61 : 4,574.08 = 1,802.12 : x
  2. Step 2: Convert to fraction form
    3,314.61/4,574.08 = 1,802.12/x
  3. Step 3: Cross multiply
    3,314.61x = 4,574.08 × 1,802.12
  4. Step 4: Simplify right side
    3,314.61x = 8,243,032.04
  5. Step 5: Solve for x
    x = 8,243,032.04/3,314.61
  6. Step 6: Final answer
    x = 2,486.88

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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.