Home / 2,257.48-3,384.40-2,075.23

Finding the Fourth Proportional to 2,257.48, 3,384.40 and 2,075.23

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Solution

The fourth proportional to 2,257.48, 3,384.40 and 2,075.23 is: 3,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.48 : 3,384.40 = 2,075.23 : x
  2. Step 2: Convert to fraction form
    2,257.48/3,384.40 = 2,075.23/x
  3. Step 3: Cross multiply
    2,257.48x = 3,384.40 × 2,075.23
  4. Step 4: Simplify right side
    2,257.48x = 7,023,411.35
  5. Step 5: Solve for x
    x = 7,023,411.35/2,257.48
  6. Step 6: Final answer
    x = 3,111.17

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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.