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Finding the Fourth Proportional to 1,518.81, 2,278.93 and 641.51

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Solution

The fourth proportional to 1,518.81, 2,278.93 and 641.51 is: 962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.81 : 2,278.93 = 641.51 : x
  2. Step 2: Convert to fraction form
    1,518.81/2,278.93 = 641.51/x
  3. Step 3: Cross multiply
    1,518.81x = 2,278.93 × 641.51
  4. Step 4: Simplify right side
    1,518.81x = 1,461,956.38
  5. Step 5: Solve for x
    x = 1,461,956.38/1,518.81
  6. Step 6: Final answer
    x = 962.57

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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.