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Finding the Fourth Proportional to 1,434.84, 1,987.56 and 1,405.68

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Solution

The fourth proportional to 1,434.84, 1,987.56 and 1,405.68 is: 1,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.84 : 1,987.56 = 1,405.68 : x
  2. Step 2: Convert to fraction form
    1,434.84/1,987.56 = 1,405.68/x
  3. Step 3: Cross multiply
    1,434.84x = 1,987.56 × 1,405.68
  4. Step 4: Simplify right side
    1,434.84x = 2,793,873.34
  5. Step 5: Solve for x
    x = 2,793,873.34/1,434.84
  6. Step 6: Final answer
    x = 1,947.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.