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Finding the Fourth Proportional to 1,655.45, 2,284.53 and 909.46

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Solution

The fourth proportional to 1,655.45, 2,284.53 and 909.46 is: 1,255.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.45 : 2,284.53 = 909.46 : x
  2. Step 2: Convert to fraction form
    1,655.45/2,284.53 = 909.46/x
  3. Step 3: Cross multiply
    1,655.45x = 2,284.53 × 909.46
  4. Step 4: Simplify right side
    1,655.45x = 2,077,675.25
  5. Step 5: Solve for x
    x = 2,077,675.25/1,655.45
  6. Step 6: Final answer
    x = 1,255.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.