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Finding the Fourth Proportional to 2,298.67, 3,430.37 and 2,052.63

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Solution

The fourth proportional to 2,298.67, 3,430.37 and 2,052.63 is: 3,063.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.67 : 3,430.37 = 2,052.63 : x
  2. Step 2: Convert to fraction form
    2,298.67/3,430.37 = 2,052.63/x
  3. Step 3: Cross multiply
    2,298.67x = 3,430.37 × 2,052.63
  4. Step 4: Simplify right side
    2,298.67x = 7,041,285.50
  5. Step 5: Solve for x
    x = 7,041,285.50/2,298.67
  6. Step 6: Final answer
    x = 3,063.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.