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Finding the Fourth Proportional to 1,536.55, 2,303.10 and 611.86

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Solution

The fourth proportional to 1,536.55, 2,303.10 and 611.86 is: 917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.55 : 2,303.10 = 611.86 : x
  2. Step 2: Convert to fraction form
    1,536.55/2,303.10 = 611.86/x
  3. Step 3: Cross multiply
    1,536.55x = 2,303.10 × 611.86
  4. Step 4: Simplify right side
    1,536.55x = 1,409,163.25
  5. Step 5: Solve for x
    x = 1,409,163.25/1,536.55
  6. Step 6: Final answer
    x = 917.10

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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.