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Finding the Fourth Proportional to 1,856.16, 2,784.88 and 1,598.64

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Solution

The fourth proportional to 1,856.16, 2,784.88 and 1,598.64 is: 2,398.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.16 : 2,784.88 = 1,598.64 : x
  2. Step 2: Convert to fraction form
    1,856.16/2,784.88 = 1,598.64/x
  3. Step 3: Cross multiply
    1,856.16x = 2,784.88 × 1,598.64
  4. Step 4: Simplify right side
    1,856.16x = 4,452,020.56
  5. Step 5: Solve for x
    x = 4,452,020.56/1,856.16
  6. Step 6: Final answer
    x = 2,398.51

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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.