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Finding the Fourth Proportional to 1,435.47, 2,153.19 and 948.41

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Solution

The fourth proportional to 1,435.47, 2,153.19 and 948.41 is: 1,422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.47 : 2,153.19 = 948.41 : x
  2. Step 2: Convert to fraction form
    1,435.47/2,153.19 = 948.41/x
  3. Step 3: Cross multiply
    1,435.47x = 2,153.19 × 948.41
  4. Step 4: Simplify right side
    1,435.47x = 2,042,096.16
  5. Step 5: Solve for x
    x = 2,042,096.16/1,435.47
  6. Step 6: Final answer
    x = 1,422.60

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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.