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Finding the Fourth Proportional to 2,062.51, 2,846.10 and 1,178.13

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Solution

The fourth proportional to 2,062.51, 2,846.10 and 1,178.13 is: 1,625.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.51 : 2,846.10 = 1,178.13 : x
  2. Step 2: Convert to fraction form
    2,062.51/2,846.10 = 1,178.13/x
  3. Step 3: Cross multiply
    2,062.51x = 2,846.10 × 1,178.13
  4. Step 4: Simplify right side
    2,062.51x = 3,353,075.79
  5. Step 5: Solve for x
    x = 3,353,075.79/2,062.51
  6. Step 6: Final answer
    x = 1,625.73

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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.