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Finding the Fourth Proportional to 1,356.09, 1,872.93 and 913.22

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Solution

The fourth proportional to 1,356.09, 1,872.93 and 913.22 is: 1,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.09 : 1,872.93 = 913.22 : x
  2. Step 2: Convert to fraction form
    1,356.09/1,872.93 = 913.22/x
  3. Step 3: Cross multiply
    1,356.09x = 1,872.93 × 913.22
  4. Step 4: Simplify right side
    1,356.09x = 1,710,398.22
  5. Step 5: Solve for x
    x = 1,710,398.22/1,356.09
  6. Step 6: Final answer
    x = 1,261.28

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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.