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Finding the Fourth Proportional to 2,897.80, 4,346.70 and 2,074.30

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Solution

The fourth proportional to 2,897.80, 4,346.70 and 2,074.30 is: 3,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.80 : 4,346.70 = 2,074.30 : x
  2. Step 2: Convert to fraction form
    2,897.80/4,346.70 = 2,074.30/x
  3. Step 3: Cross multiply
    2,897.80x = 4,346.70 × 2,074.30
  4. Step 4: Simplify right side
    2,897.80x = 9,016,359.81
  5. Step 5: Solve for x
    x = 9,016,359.81/2,897.80
  6. Step 6: Final answer
    x = 3,111.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.