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Finding the Fourth Proportional to 1,853.02, 2,777.16 and 927.16

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Solution

The fourth proportional to 1,853.02, 2,777.16 and 927.16 is: 1,389.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.02 : 2,777.16 = 927.16 : x
  2. Step 2: Convert to fraction form
    1,853.02/2,777.16 = 927.16/x
  3. Step 3: Cross multiply
    1,853.02x = 2,777.16 × 927.16
  4. Step 4: Simplify right side
    1,853.02x = 2,574,871.67
  5. Step 5: Solve for x
    x = 2,574,871.67/1,853.02
  6. Step 6: Final answer
    x = 1,389.55

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