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Finding the Fourth Proportional to 1,710.70, 2,566.05 and 1,278.70

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Solution

The fourth proportional to 1,710.70, 2,566.05 and 1,278.70 is: 1,918.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,710.70 : 2,566.05 = 1,278.70 : x
  2. Step 2: Convert to fraction form
    1,710.70/2,566.05 = 1,278.70/x
  3. Step 3: Cross multiply
    1,710.70x = 2,566.05 × 1,278.70
  4. Step 4: Simplify right side
    1,710.70x = 3,281,208.14
  5. Step 5: Solve for x
    x = 3,281,208.14/1,710.70
  6. Step 6: Final answer
    x = 1,918.05

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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.