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Finding the Fourth Proportional to 1,397.65, 1,928.49 and 900.19

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Solution

The fourth proportional to 1,397.65, 1,928.49 and 900.19 is: 1,242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.65 : 1,928.49 = 900.19 : x
  2. Step 2: Convert to fraction form
    1,397.65/1,928.49 = 900.19/x
  3. Step 3: Cross multiply
    1,397.65x = 1,928.49 × 900.19
  4. Step 4: Simplify right side
    1,397.65x = 1,736,007.41
  5. Step 5: Solve for x
    x = 1,736,007.41/1,397.65
  6. Step 6: Final answer
    x = 1,242.09

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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.