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Finding the Fourth Proportional to 1,774.76, 2,657.41 and 1,567.13

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Solution

The fourth proportional to 1,774.76, 2,657.41 and 1,567.13 is: 2,346.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.76 : 2,657.41 = 1,567.13 : x
  2. Step 2: Convert to fraction form
    1,774.76/2,657.41 = 1,567.13/x
  3. Step 3: Cross multiply
    1,774.76x = 2,657.41 × 1,567.13
  4. Step 4: Simplify right side
    1,774.76x = 4,164,506.93
  5. Step 5: Solve for x
    x = 4,164,506.93/1,774.76
  6. Step 6: Final answer
    x = 2,346.52

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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.