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Finding the Fourth Proportional to 1,386.66, 1,914.05 and 944.49

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Solution

The fourth proportional to 1,386.66, 1,914.05 and 944.49 is: 1,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.66 : 1,914.05 = 944.49 : x
  2. Step 2: Convert to fraction form
    1,386.66/1,914.05 = 944.49/x
  3. Step 3: Cross multiply
    1,386.66x = 1,914.05 × 944.49
  4. Step 4: Simplify right side
    1,386.66x = 1,807,801.08
  5. Step 5: Solve for x
    x = 1,807,801.08/1,386.66
  6. Step 6: Final answer
    x = 1,303.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.