Home / 1,656.22-2,285.76-1,027.16

Finding the Fourth Proportional to 1,656.22, 2,285.76 and 1,027.16

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Solution

The fourth proportional to 1,656.22, 2,285.76 and 1,027.16 is: 1,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.22 : 2,285.76 = 1,027.16 : x
  2. Step 2: Convert to fraction form
    1,656.22/2,285.76 = 1,027.16/x
  3. Step 3: Cross multiply
    1,656.22x = 2,285.76 × 1,027.16
  4. Step 4: Simplify right side
    1,656.22x = 2,347,841.24
  5. Step 5: Solve for x
    x = 2,347,841.24/1,656.22
  6. Step 6: Final answer
    x = 1,417.59

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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.