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Finding the Fourth Proportional to 1,688.76, 2,533.87 and 907.85

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Solution

The fourth proportional to 1,688.76, 2,533.87 and 907.85 is: 1,362.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.76 : 2,533.87 = 907.85 : x
  2. Step 2: Convert to fraction form
    1,688.76/2,533.87 = 907.85/x
  3. Step 3: Cross multiply
    1,688.76x = 2,533.87 × 907.85
  4. Step 4: Simplify right side
    1,688.76x = 2,300,373.88
  5. Step 5: Solve for x
    x = 2,300,373.88/1,688.76
  6. Step 6: Final answer
    x = 1,362.17

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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.