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Finding the Fourth Proportional to 1,474.79, 2,210.71 and 948.12

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Solution

The fourth proportional to 1,474.79, 2,210.71 and 948.12 is: 1,421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.79 : 2,210.71 = 948.12 : x
  2. Step 2: Convert to fraction form
    1,474.79/2,210.71 = 948.12/x
  3. Step 3: Cross multiply
    1,474.79x = 2,210.71 × 948.12
  4. Step 4: Simplify right side
    1,474.79x = 2,096,018.37
  5. Step 5: Solve for x
    x = 2,096,018.37/1,474.79
  6. Step 6: Final answer
    x = 1,421.23

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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.