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Finding the Fourth Proportional to 1,756.70, 2,633.00 and 933.50

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Solution

The fourth proportional to 1,756.70, 2,633.00 and 933.50 is: 1,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,756.70 : 2,633.00 = 933.50 : x
  2. Step 2: Convert to fraction form
    1,756.70/2,633.00 = 933.50/x
  3. Step 3: Cross multiply
    1,756.70x = 2,633.00 × 933.50
  4. Step 4: Simplify right side
    1,756.70x = 2,457,887.67
  5. Step 5: Solve for x
    x = 2,457,887.67/1,756.70
  6. Step 6: Final answer
    x = 1,399.15

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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.