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Finding the Fourth Proportional to 2,660.46, 3,670.95 and 1,541.34

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Solution

The fourth proportional to 2,660.46, 3,670.95 and 1,541.34 is: 2,126.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.46 : 3,670.95 = 1,541.34 : x
  2. Step 2: Convert to fraction form
    2,660.46/3,670.95 = 1,541.34/x
  3. Step 3: Cross multiply
    2,660.46x = 3,670.95 × 1,541.34
  4. Step 4: Simplify right side
    2,660.46x = 5,658,182.07
  5. Step 5: Solve for x
    x = 5,658,182.07/2,660.46
  6. Step 6: Final answer
    x = 2,126.77

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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.