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Finding the Fourth Proportional to 1,441.74, 1,988.89 and 944.40

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Solution

The fourth proportional to 1,441.74, 1,988.89 and 944.40 is: 1,302.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.74 : 1,988.89 = 944.40 : x
  2. Step 2: Convert to fraction form
    1,441.74/1,988.89 = 944.40/x
  3. Step 3: Cross multiply
    1,441.74x = 1,988.89 × 944.40
  4. Step 4: Simplify right side
    1,441.74x = 1,878,307.72
  5. Step 5: Solve for x
    x = 1,878,307.72/1,441.74
  6. Step 6: Final answer
    x = 1,302.81

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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.