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Finding the Fourth Proportional to 1,860.67, 2,567.70 and 1,074.70

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Solution

The fourth proportional to 1,860.67, 2,567.70 and 1,074.70 is: 1,483.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,860.67 : 2,567.70 = 1,074.70 : x
  2. Step 2: Convert to fraction form
    1,860.67/2,567.70 = 1,074.70/x
  3. Step 3: Cross multiply
    1,860.67x = 2,567.70 × 1,074.70
  4. Step 4: Simplify right side
    1,860.67x = 2,759,500.77
  5. Step 5: Solve for x
    x = 2,759,500.77/1,860.67
  6. Step 6: Final answer
    x = 1,483.07

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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.