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Finding the Fourth Proportional to 1,578.25, 2,368.32 and 921.07

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Solution

The fourth proportional to 1,578.25, 2,368.32 and 921.07 is: 1,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.25 : 2,368.32 = 921.07 : x
  2. Step 2: Convert to fraction form
    1,578.25/2,368.32 = 921.07/x
  3. Step 3: Cross multiply
    1,578.25x = 2,368.32 × 921.07
  4. Step 4: Simplify right side
    1,578.25x = 2,181,388.50
  5. Step 5: Solve for x
    x = 2,181,388.50/1,578.25
  6. Step 6: Final answer
    x = 1,382.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.