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Finding the Fourth Proportional to 1,271.70, 1,903.95 and 1,142.10

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Solution

The fourth proportional to 1,271.70, 1,903.95 and 1,142.10 is: 1,709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.70 : 1,903.95 = 1,142.10 : x
  2. Step 2: Convert to fraction form
    1,271.70/1,903.95 = 1,142.10/x
  3. Step 3: Cross multiply
    1,271.70x = 1,903.95 × 1,142.10
  4. Step 4: Simplify right side
    1,271.70x = 2,174,501.30
  5. Step 5: Solve for x
    x = 2,174,501.30/1,271.70
  6. Step 6: Final answer
    x = 1,709.92

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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.