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Finding the Fourth Proportional to 2,435.55, 3,652.23 and 703.77

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Solution

The fourth proportional to 2,435.55, 3,652.23 and 703.77 is: 1,055.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.55 : 3,652.23 = 703.77 : x
  2. Step 2: Convert to fraction form
    2,435.55/3,652.23 = 703.77/x
  3. Step 3: Cross multiply
    2,435.55x = 3,652.23 × 703.77
  4. Step 4: Simplify right side
    2,435.55x = 2,570,329.91
  5. Step 5: Solve for x
    x = 2,570,329.91/2,435.55
  6. Step 6: Final answer
    x = 1,055.34

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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.