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Finding the Fourth Proportional to 2,141.55, 2,955.30 and 1,210.05

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Solution

The fourth proportional to 2,141.55, 2,955.30 and 1,210.05 is: 1,669.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.55 : 2,955.30 = 1,210.05 : x
  2. Step 2: Convert to fraction form
    2,141.55/2,955.30 = 1,210.05/x
  3. Step 3: Cross multiply
    2,141.55x = 2,955.30 × 1,210.05
  4. Step 4: Simplify right side
    2,141.55x = 3,576,060.77
  5. Step 5: Solve for x
    x = 3,576,060.77/2,141.55
  6. Step 6: Final answer
    x = 1,669.85

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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.