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Finding the Fourth Proportional to 1,655.53, 2,284.61 and 909.50

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Solution

The fourth proportional to 1,655.53, 2,284.61 and 909.50 is: 1,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.53 : 2,284.61 = 909.50 : x
  2. Step 2: Convert to fraction form
    1,655.53/2,284.61 = 909.50/x
  3. Step 3: Cross multiply
    1,655.53x = 2,284.61 × 909.50
  4. Step 4: Simplify right side
    1,655.53x = 2,077,852.80
  5. Step 5: Solve for x
    x = 2,077,852.80/1,655.53
  6. Step 6: Final answer
    x = 1,255.10

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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.