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Finding the Fourth Proportional to 1,767.03, 2,438.58 and 981.07

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Solution

The fourth proportional to 1,767.03, 2,438.58 and 981.07 is: 1,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.03 : 2,438.58 = 981.07 : x
  2. Step 2: Convert to fraction form
    1,767.03/2,438.58 = 981.07/x
  3. Step 3: Cross multiply
    1,767.03x = 2,438.58 × 981.07
  4. Step 4: Simplify right side
    1,767.03x = 2,392,417.68
  5. Step 5: Solve for x
    x = 2,392,417.68/1,767.03
  6. Step 6: Final answer
    x = 1,353.92

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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.