Home / 1,705.30-2,352.14-1,648.16

Finding the Fourth Proportional to 1,705.30, 2,352.14 and 1,648.16

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Solution

The fourth proportional to 1,705.30, 2,352.14 and 1,648.16 is: 2,273.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,705.30 : 2,352.14 = 1,648.16 : x
  2. Step 2: Convert to fraction form
    1,705.30/2,352.14 = 1,648.16/x
  3. Step 3: Cross multiply
    1,705.30x = 2,352.14 × 1,648.16
  4. Step 4: Simplify right side
    1,705.30x = 3,876,703.06
  5. Step 5: Solve for x
    x = 3,876,703.06/1,705.30
  6. Step 6: Final answer
    x = 2,273.33

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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.