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Finding the Fourth Proportional to 1,890.70, 2,835.77 and 504.16

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Solution

The fourth proportional to 1,890.70, 2,835.77 and 504.16 is: 756.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.70 : 2,835.77 = 504.16 : x
  2. Step 2: Convert to fraction form
    1,890.70/2,835.77 = 504.16/x
  3. Step 3: Cross multiply
    1,890.70x = 2,835.77 × 504.16
  4. Step 4: Simplify right side
    1,890.70x = 1,429,681.80
  5. Step 5: Solve for x
    x = 1,429,681.80/1,890.70
  6. Step 6: Final answer
    x = 756.17

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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.