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Finding the Fourth Proportional to 1,435.10, 2,152.87 and 613.38

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Solution

The fourth proportional to 1,435.10, 2,152.87 and 613.38 is: 920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.10 : 2,152.87 = 613.38 : x
  2. Step 2: Convert to fraction form
    1,435.10/2,152.87 = 613.38/x
  3. Step 3: Cross multiply
    1,435.10x = 2,152.87 × 613.38
  4. Step 4: Simplify right side
    1,435.10x = 1,320,527.40
  5. Step 5: Solve for x
    x = 1,320,527.40/1,435.10
  6. Step 6: Final answer
    x = 920.16

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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.