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Finding the Fourth Proportional to 1,853.35, 2,779.21 and 554.52

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Solution

The fourth proportional to 1,853.35, 2,779.21 and 554.52 is: 831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.35 : 2,779.21 = 554.52 : x
  2. Step 2: Convert to fraction form
    1,853.35/2,779.21 = 554.52/x
  3. Step 3: Cross multiply
    1,853.35x = 2,779.21 × 554.52
  4. Step 4: Simplify right side
    1,853.35x = 1,541,127.53
  5. Step 5: Solve for x
    x = 1,541,127.53/1,853.35
  6. Step 6: Final answer
    x = 831.54

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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.