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Finding the Fourth Proportional to 1,779.58, 2,454.55 and 1,543.10

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Solution

The fourth proportional to 1,779.58, 2,454.55 and 1,543.10 is: 2,128.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.58 : 2,454.55 = 1,543.10 : x
  2. Step 2: Convert to fraction form
    1,779.58/2,454.55 = 1,543.10/x
  3. Step 3: Cross multiply
    1,779.58x = 2,454.55 × 1,543.10
  4. Step 4: Simplify right side
    1,779.58x = 3,787,616.11
  5. Step 5: Solve for x
    x = 3,787,616.11/1,779.58
  6. Step 6: Final answer
    x = 2,128.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.