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Finding the Fourth Proportional to 1,777.51, 2,665.95 and 1,046.23

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Solution

The fourth proportional to 1,777.51, 2,665.95 and 1,046.23 is: 1,569.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.51 : 2,665.95 = 1,046.23 : x
  2. Step 2: Convert to fraction form
    1,777.51/2,665.95 = 1,046.23/x
  3. Step 3: Cross multiply
    1,777.51x = 2,665.95 × 1,046.23
  4. Step 4: Simplify right side
    1,777.51x = 2,789,196.87
  5. Step 5: Solve for x
    x = 2,789,196.87/1,777.51
  6. Step 6: Final answer
    x = 1,569.16

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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.