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Finding the Fourth Proportional to 2,907.12, 4,011.72 and 1,580.76

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Solution

The fourth proportional to 2,907.12, 4,011.72 and 1,580.76 is: 2,181.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.12 : 4,011.72 = 1,580.76 : x
  2. Step 2: Convert to fraction form
    2,907.12/4,011.72 = 1,580.76/x
  3. Step 3: Cross multiply
    2,907.12x = 4,011.72 × 1,580.76
  4. Step 4: Simplify right side
    2,907.12x = 6,341,566.51
  5. Step 5: Solve for x
    x = 6,341,566.51/2,907.12
  6. Step 6: Final answer
    x = 2,181.39

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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.