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Finding the Fourth Proportional to 1,853.14, 2,779.88 and 683.10

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Solution

The fourth proportional to 1,853.14, 2,779.88 and 683.10 is: 1,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.14 : 2,779.88 = 683.10 : x
  2. Step 2: Convert to fraction form
    1,853.14/2,779.88 = 683.10/x
  3. Step 3: Cross multiply
    1,853.14x = 2,779.88 × 683.10
  4. Step 4: Simplify right side
    1,853.14x = 1,898,925.69
  5. Step 5: Solve for x
    x = 1,898,925.69/1,853.14
  6. Step 6: Final answer
    x = 1,024.71

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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.