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Finding the Fourth Proportional to 1,493.51, 2,060.88 and 864.05

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Solution

The fourth proportional to 1,493.51, 2,060.88 and 864.05 is: 1,192.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.51 : 2,060.88 = 864.05 : x
  2. Step 2: Convert to fraction form
    1,493.51/2,060.88 = 864.05/x
  3. Step 3: Cross multiply
    1,493.51x = 2,060.88 × 864.05
  4. Step 4: Simplify right side
    1,493.51x = 1,780,703.36
  5. Step 5: Solve for x
    x = 1,780,703.36/1,493.51
  6. Step 6: Final answer
    x = 1,192.29

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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.