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Finding the Fourth Proportional to 2,323.88, 3,486.36 and 784.88

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Solution

The fourth proportional to 2,323.88, 3,486.36 and 784.88 is: 1,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,323.88 : 3,486.36 = 784.88 : x
  2. Step 2: Convert to fraction form
    2,323.88/3,486.36 = 784.88/x
  3. Step 3: Cross multiply
    2,323.88x = 3,486.36 × 784.88
  4. Step 4: Simplify right side
    2,323.88x = 2,736,374.24
  5. Step 5: Solve for x
    x = 2,736,374.24/2,323.88
  6. Step 6: Final answer
    x = 1,177.50

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1.5x scale

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.