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Finding the Fourth Proportional to 1,869.42, 2,804.13 and 1,005.42

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Solution

The fourth proportional to 1,869.42, 2,804.13 and 1,005.42 is: 1,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.42 : 2,804.13 = 1,005.42 : x
  2. Step 2: Convert to fraction form
    1,869.42/2,804.13 = 1,005.42/x
  3. Step 3: Cross multiply
    1,869.42x = 2,804.13 × 1,005.42
  4. Step 4: Simplify right side
    1,869.42x = 2,819,328.38
  5. Step 5: Solve for x
    x = 2,819,328.38/1,869.42
  6. Step 6: Final answer
    x = 1,508.13

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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.