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Finding the Fourth Proportional to 1,435.68, 2,154.60 and 948.56

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Solution

The fourth proportional to 1,435.68, 2,154.60 and 948.56 is: 1,423.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.68 : 2,154.60 = 948.56 : x
  2. Step 2: Convert to fraction form
    1,435.68/2,154.60 = 948.56/x
  3. Step 3: Cross multiply
    1,435.68x = 2,154.60 × 948.56
  4. Step 4: Simplify right side
    1,435.68x = 2,043,767.38
  5. Step 5: Solve for x
    x = 2,043,767.38/1,435.68
  6. Step 6: Final answer
    x = 1,423.55

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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.