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Finding the Fourth Proportional to 1,677.80, 2,316.50 and 1,259.08

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Solution

The fourth proportional to 1,677.80, 2,316.50 and 1,259.08 is: 1,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.80 : 2,316.50 = 1,259.08 : x
  2. Step 2: Convert to fraction form
    1,677.80/2,316.50 = 1,259.08/x
  3. Step 3: Cross multiply
    1,677.80x = 2,316.50 × 1,259.08
  4. Step 4: Simplify right side
    1,677.80x = 2,916,658.82
  5. Step 5: Solve for x
    x = 2,916,658.82/1,677.80
  6. Step 6: Final answer
    x = 1,738.38

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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.