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Finding the Fourth Proportional to 2,306.41, 3,460.40 and 990.11

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Solution

The fourth proportional to 2,306.41, 3,460.40 and 990.11 is: 1,485.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,306.41 : 3,460.40 = 990.11 : x
  2. Step 2: Convert to fraction form
    2,306.41/3,460.40 = 990.11/x
  3. Step 3: Cross multiply
    2,306.41x = 3,460.40 × 990.11
  4. Step 4: Simplify right side
    2,306.41x = 3,426,176.64
  5. Step 5: Solve for x
    x = 3,426,176.64/2,306.41
  6. Step 6: Final answer
    x = 1,485.50

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Why These Related Problems?

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