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Finding the Fourth Proportional to 1,828.65, 2,742.67 and 595.79

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Solution

The fourth proportional to 1,828.65, 2,742.67 and 595.79 is: 893.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.65 : 2,742.67 = 595.79 : x
  2. Step 2: Convert to fraction form
    1,828.65/2,742.67 = 595.79/x
  3. Step 3: Cross multiply
    1,828.65x = 2,742.67 × 595.79
  4. Step 4: Simplify right side
    1,828.65x = 1,634,055.36
  5. Step 5: Solve for x
    x = 1,634,055.36/1,828.65
  6. Step 6: Final answer
    x = 893.59

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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.