Home / 1,709.40-2,567.70-1,648.20

Finding the Fourth Proportional to 1,709.40, 2,567.70 and 1,648.20

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Solution

The fourth proportional to 1,709.40, 2,567.70 and 1,648.20 is: 2,475.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.40 : 2,567.70 = 1,648.20 : x
  2. Step 2: Convert to fraction form
    1,709.40/2,567.70 = 1,648.20/x
  3. Step 3: Cross multiply
    1,709.40x = 2,567.70 × 1,648.20
  4. Step 4: Simplify right side
    1,709.40x = 4,232,083.14
  5. Step 5: Solve for x
    x = 4,232,083.14/1,709.40
  6. Step 6: Final answer
    x = 2,475.77

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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.