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Finding the Fourth Proportional to 1,429.34, 1,971.54 and 1,242.50

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Solution

The fourth proportional to 1,429.34, 1,971.54 and 1,242.50 is: 1,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.34 : 1,971.54 = 1,242.50 : x
  2. Step 2: Convert to fraction form
    1,429.34/1,971.54 = 1,242.50/x
  3. Step 3: Cross multiply
    1,429.34x = 1,971.54 × 1,242.50
  4. Step 4: Simplify right side
    1,429.34x = 2,449,628.59
  5. Step 5: Solve for x
    x = 2,449,628.59/1,429.34
  6. Step 6: Final answer
    x = 1,713.82

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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.