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Finding the Fourth Proportional to 2,907.05, 4,011.66 and 1,580.74

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Solution

The fourth proportional to 2,907.05, 4,011.66 and 1,580.74 is: 2,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.05 : 4,011.66 = 1,580.74 : x
  2. Step 2: Convert to fraction form
    2,907.05/4,011.66 = 1,580.74/x
  3. Step 3: Cross multiply
    2,907.05x = 4,011.66 × 1,580.74
  4. Step 4: Simplify right side
    2,907.05x = 6,341,381.40
  5. Step 5: Solve for x
    x = 6,341,381.40/2,907.05
  6. Step 6: Final answer
    x = 2,181.38

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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.