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Finding the Fourth Proportional to 1,852.55, 2,779.60 and 812.01

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Solution

The fourth proportional to 1,852.55, 2,779.60 and 812.01 is: 1,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,852.55 : 2,779.60 = 812.01 : x
  2. Step 2: Convert to fraction form
    1,852.55/2,779.60 = 812.01/x
  3. Step 3: Cross multiply
    1,852.55x = 2,779.60 × 812.01
  4. Step 4: Simplify right side
    1,852.55x = 2,257,063.00
  5. Step 5: Solve for x
    x = 2,257,063.00/1,852.55
  6. Step 6: Final answer
    x = 1,218.35

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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.