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Finding the Fourth Proportional to 1,765.53, 2,642.49 and 973.69

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Solution

The fourth proportional to 1,765.53, 2,642.49 and 973.69 is: 1,457.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.53 : 2,642.49 = 973.69 : x
  2. Step 2: Convert to fraction form
    1,765.53/2,642.49 = 973.69/x
  3. Step 3: Cross multiply
    1,765.53x = 2,642.49 × 973.69
  4. Step 4: Simplify right side
    1,765.53x = 2,572,959.48
  5. Step 5: Solve for x
    x = 2,572,959.48/1,765.53
  6. Step 6: Final answer
    x = 1,457.33

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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.