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Finding the Fourth Proportional to 1,779.87, 2,657.00 and 1,656.86

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Solution

The fourth proportional to 1,779.87, 2,657.00 and 1,656.86 is: 2,473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779.87 : 2,657.00 = 1,656.86 : x
  2. Step 2: Convert to fraction form
    1,779.87/2,657.00 = 1,656.86/x
  3. Step 3: Cross multiply
    1,779.87x = 2,657.00 × 1,656.86
  4. Step 4: Simplify right side
    1,779.87x = 4,402,267.88
  5. Step 5: Solve for x
    x = 4,402,267.88/1,779.87
  6. Step 6: Final answer
    x = 2,473.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.