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Finding the Fourth Proportional to 1,868.33, 2,802.53 and 772.00

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Solution

The fourth proportional to 1,868.33, 2,802.53 and 772.00 is: 1,158.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,868.33 : 2,802.53 = 772.00 : x
  2. Step 2: Convert to fraction form
    1,868.33/2,802.53 = 772.00/x
  3. Step 3: Cross multiply
    1,868.33x = 2,802.53 × 772.00
  4. Step 4: Simplify right side
    1,868.33x = 2,163,548.08
  5. Step 5: Solve for x
    x = 2,163,548.08/1,868.33
  6. Step 6: Final answer
    x = 1,158.01

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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.