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Finding the Fourth Proportional to 1,823.32, 2,730.75 and 896.01

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Solution

The fourth proportional to 1,823.32, 2,730.75 and 896.01 is: 1,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.32 : 2,730.75 = 896.01 : x
  2. Step 2: Convert to fraction form
    1,823.32/2,730.75 = 896.01/x
  3. Step 3: Cross multiply
    1,823.32x = 2,730.75 × 896.01
  4. Step 4: Simplify right side
    1,823.32x = 2,446,779.31
  5. Step 5: Solve for x
    x = 2,446,779.31/1,823.32
  6. Step 6: Final answer
    x = 1,341.94

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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.