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Finding the Fourth Proportional to 1,381.59, 1,905.80 and 909.63

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Solution

The fourth proportional to 1,381.59, 1,905.80 and 909.63 is: 1,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.59 : 1,905.80 = 909.63 : x
  2. Step 2: Convert to fraction form
    1,381.59/1,905.80 = 909.63/x
  3. Step 3: Cross multiply
    1,381.59x = 1,905.80 × 909.63
  4. Step 4: Simplify right side
    1,381.59x = 1,733,568.31
  5. Step 5: Solve for x
    x = 1,733,568.31/1,381.59
  6. Step 6: Final answer
    x = 1,254.76

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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.