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Finding the Fourth Proportional to 1,779.40, 2,669.10 and 855.40

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Solution

The fourth proportional to 1,779.40, 2,669.10 and 855.40 is: 1,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.40 : 2,669.10 = 855.40 : x
  2. Step 2: Convert to fraction form
    1,779.40/2,669.10 = 855.40/x
  3. Step 3: Cross multiply
    1,779.40x = 2,669.10 × 855.40
  4. Step 4: Simplify right side
    1,779.40x = 2,283,148.14
  5. Step 5: Solve for x
    x = 2,283,148.14/1,779.40
  6. Step 6: Final answer
    x = 1,283.10

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1.5x scale

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.