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Finding the Fourth Proportional to 1,610.64, 2,223.18 and 1,021.53

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Solution

The fourth proportional to 1,610.64, 2,223.18 and 1,021.53 is: 1,410.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.64 : 2,223.18 = 1,021.53 : x
  2. Step 2: Convert to fraction form
    1,610.64/2,223.18 = 1,021.53/x
  3. Step 3: Cross multiply
    1,610.64x = 2,223.18 × 1,021.53
  4. Step 4: Simplify right side
    1,610.64x = 2,271,045.07
  5. Step 5: Solve for x
    x = 2,271,045.07/1,610.64
  6. Step 6: Final answer
    x = 1,410.03

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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.