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Finding the Fourth Proportional to 2,306.54, 3,457.08 and 1,330.63

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Solution

The fourth proportional to 2,306.54, 3,457.08 and 1,330.63 is: 1,994.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.54 : 3,457.08 = 1,330.63 : x
  2. Step 2: Convert to fraction form
    2,306.54/3,457.08 = 1,330.63/x
  3. Step 3: Cross multiply
    2,306.54x = 3,457.08 × 1,330.63
  4. Step 4: Simplify right side
    2,306.54x = 4,600,085.72
  5. Step 5: Solve for x
    x = 4,600,085.72/2,306.54
  6. Step 6: Final answer
    x = 1,994.36

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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.