Home / 1,720.40-2,376.84-1,582.16

Finding the Fourth Proportional to 1,720.40, 2,376.84 and 1,582.16

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Solution

The fourth proportional to 1,720.40, 2,376.84 and 1,582.16 is: 2,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.40 : 2,376.84 = 1,582.16 : x
  2. Step 2: Convert to fraction form
    1,720.40/2,376.84 = 1,582.16/x
  3. Step 3: Cross multiply
    1,720.40x = 2,376.84 × 1,582.16
  4. Step 4: Simplify right side
    1,720.40x = 3,760,541.17
  5. Step 5: Solve for x
    x = 3,760,541.17/1,720.40
  6. Step 6: Final answer
    x = 2,185.85

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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.