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Finding the Fourth Proportional to 1,763.51, 2,433.80 and 977.81

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Solution

The fourth proportional to 1,763.51, 2,433.80 and 977.81 is: 1,349.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.51 : 2,433.80 = 977.81 : x
  2. Step 2: Convert to fraction form
    1,763.51/2,433.80 = 977.81/x
  3. Step 3: Cross multiply
    1,763.51x = 2,433.80 × 977.81
  4. Step 4: Simplify right side
    1,763.51x = 2,379,776.92
  5. Step 5: Solve for x
    x = 2,379,776.92/1,763.51
  6. Step 6: Final answer
    x = 1,349.46

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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.