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Finding the Fourth Proportional to 1,655.36, 2,284.37 and 909.33

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Solution

The fourth proportional to 1,655.36, 2,284.37 and 909.33 is: 1,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.36 : 2,284.37 = 909.33 : x
  2. Step 2: Convert to fraction form
    1,655.36/2,284.37 = 909.33/x
  3. Step 3: Cross multiply
    1,655.36x = 2,284.37 × 909.33
  4. Step 4: Simplify right side
    1,655.36x = 2,077,246.17
  5. Step 5: Solve for x
    x = 2,077,246.17/1,655.36
  6. Step 6: Final answer
    x = 1,254.86

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1.5x scale

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.