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Finding the Fourth Proportional to 1,762.19, 2,431.05 and 1,053.64

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Solution

The fourth proportional to 1,762.19, 2,431.05 and 1,053.64 is: 1,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.19 : 2,431.05 = 1,053.64 : x
  2. Step 2: Convert to fraction form
    1,762.19/2,431.05 = 1,053.64/x
  3. Step 3: Cross multiply
    1,762.19x = 2,431.05 × 1,053.64
  4. Step 4: Simplify right side
    1,762.19x = 2,561,450.61
  5. Step 5: Solve for x
    x = 2,561,450.61/1,762.19
  6. Step 6: Final answer
    x = 1,453.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.