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Finding the Fourth Proportional to 1,563.55, 2,345.93 and 1,435.97

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Solution

The fourth proportional to 1,563.55, 2,345.93 and 1,435.97 is: 2,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.55 : 2,345.93 = 1,435.97 : x
  2. Step 2: Convert to fraction form
    1,563.55/2,345.93 = 1,435.97/x
  3. Step 3: Cross multiply
    1,563.55x = 2,345.93 × 1,435.97
  4. Step 4: Simplify right side
    1,563.55x = 3,368,685.10
  5. Step 5: Solve for x
    x = 3,368,685.10/1,563.55
  6. Step 6: Final answer
    x = 2,154.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.