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Finding the Fourth Proportional to 1,856.72, 2,785.08 and 1,570.16

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Solution

The fourth proportional to 1,856.72, 2,785.08 and 1,570.16 is: 2,355.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.72 : 2,785.08 = 1,570.16 : x
  2. Step 2: Convert to fraction form
    1,856.72/2,785.08 = 1,570.16/x
  3. Step 3: Cross multiply
    1,856.72x = 2,785.08 × 1,570.16
  4. Step 4: Simplify right side
    1,856.72x = 4,373,021.21
  5. Step 5: Solve for x
    x = 4,373,021.21/1,856.72
  6. Step 6: Final answer
    x = 2,355.24

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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.