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Finding the Fourth Proportional to 1,856.32, 2,784.75 and 623.46

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Solution

The fourth proportional to 1,856.32, 2,784.75 and 623.46 is: 935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.32 : 2,784.75 = 623.46 : x
  2. Step 2: Convert to fraction form
    1,856.32/2,784.75 = 623.46/x
  3. Step 3: Cross multiply
    1,856.32x = 2,784.75 × 623.46
  4. Step 4: Simplify right side
    1,856.32x = 1,736,180.24
  5. Step 5: Solve for x
    x = 1,736,180.24/1,856.32
  6. Step 6: Final answer
    x = 935.28

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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.