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Finding the Fourth Proportional to 1,785.18, 2,463.44 and 988.46

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Solution

The fourth proportional to 1,785.18, 2,463.44 and 988.46 is: 1,364.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.18 : 2,463.44 = 988.46 : x
  2. Step 2: Convert to fraction form
    1,785.18/2,463.44 = 988.46/x
  3. Step 3: Cross multiply
    1,785.18x = 2,463.44 × 988.46
  4. Step 4: Simplify right side
    1,785.18x = 2,434,994.64
  5. Step 5: Solve for x
    x = 2,434,994.64/1,785.18
  6. Step 6: Final answer
    x = 1,364.01

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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.