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Finding the Fourth Proportional to 3,154.47, 4,353.07 and 1,810.30

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Solution

The fourth proportional to 3,154.47, 4,353.07 and 1,810.30 is: 2,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.47 : 4,353.07 = 1,810.30 : x
  2. Step 2: Convert to fraction form
    3,154.47/4,353.07 = 1,810.30/x
  3. Step 3: Cross multiply
    3,154.47x = 4,353.07 × 1,810.30
  4. Step 4: Simplify right side
    3,154.47x = 7,880,362.62
  5. Step 5: Solve for x
    x = 7,880,362.62/3,154.47
  6. Step 6: Final answer
    x = 2,498.16

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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.