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Finding the Fourth Proportional to 1,856.16, 2,784.24 and 760.32

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Solution

The fourth proportional to 1,856.16, 2,784.24 and 760.32 is: 1,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.16 : 2,784.24 = 760.32 : x
  2. Step 2: Convert to fraction form
    1,856.16/2,784.24 = 760.32/x
  3. Step 3: Cross multiply
    1,856.16x = 2,784.24 × 760.32
  4. Step 4: Simplify right side
    1,856.16x = 2,116,913.36
  5. Step 5: Solve for x
    x = 2,116,913.36/1,856.16
  6. Step 6: Final answer
    x = 1,140.48

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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.