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Finding the Fourth Proportional to 1,434.80, 2,141.74 and 1,262

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Solution

The fourth proportional to 1,434.80, 2,141.74 and 1,262 is: 1,883.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.80 : 2,141.74 = 1,262 : x
  2. Step 2: Convert to fraction form
    1,434.80/2,141.74 = 1,262/x
  3. Step 3: Cross multiply
    1,434.80x = 2,141.74 × 1,262
  4. Step 4: Simplify right side
    1,434.80x = 2,702,875.88
  5. Step 5: Solve for x
    x = 2,702,875.88/1,434.80
  6. Step 6: Final answer
    x = 1,883.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.