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Finding the Fourth Proportional to 1,813.76, 2,714.64 and 1,560.32

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Solution

The fourth proportional to 1,813.76, 2,714.64 and 1,560.32 is: 2,335.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.76 : 2,714.64 = 1,560.32 : x
  2. Step 2: Convert to fraction form
    1,813.76/2,714.64 = 1,560.32/x
  3. Step 3: Cross multiply
    1,813.76x = 2,714.64 × 1,560.32
  4. Step 4: Simplify right side
    1,813.76x = 4,235,707.08
  5. Step 5: Solve for x
    x = 4,235,707.08/1,813.76
  6. Step 6: Final answer
    x = 2,335.32

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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.