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Finding the Fourth Proportional to 1,753.50, 2,628.87 and 973.77

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Solution

The fourth proportional to 1,753.50, 2,628.87 and 973.77 is: 1,459.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.50 : 2,628.87 = 973.77 : x
  2. Step 2: Convert to fraction form
    1,753.50/2,628.87 = 973.77/x
  3. Step 3: Cross multiply
    1,753.50x = 2,628.87 × 973.77
  4. Step 4: Simplify right side
    1,753.50x = 2,559,914.74
  5. Step 5: Solve for x
    x = 2,559,914.74/1,753.50
  6. Step 6: Final answer
    x = 1,459.89

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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.