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Finding the Fourth Proportional to 2,907.76, 4,362.81 and 1,059.01

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Solution

The fourth proportional to 2,907.76, 4,362.81 and 1,059.01 is: 1,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,907.76 : 4,362.81 = 1,059.01 : x
  2. Step 2: Convert to fraction form
    2,907.76/4,362.81 = 1,059.01/x
  3. Step 3: Cross multiply
    2,907.76x = 4,362.81 × 1,059.01
  4. Step 4: Simplify right side
    2,907.76x = 4,620,259.42
  5. Step 5: Solve for x
    x = 4,620,259.42/2,907.76
  6. Step 6: Final answer
    x = 1,588.94

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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.