Home / 1,782.34-2,459.23-1,363.16

Finding the Fourth Proportional to 1,782.34, 2,459.23 and 1,363.16

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Solution

The fourth proportional to 1,782.34, 2,459.23 and 1,363.16 is: 1,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.34 : 2,459.23 = 1,363.16 : x
  2. Step 2: Convert to fraction form
    1,782.34/2,459.23 = 1,363.16/x
  3. Step 3: Cross multiply
    1,782.34x = 2,459.23 × 1,363.16
  4. Step 4: Simplify right side
    1,782.34x = 3,352,326.71
  5. Step 5: Solve for x
    x = 3,352,326.71/1,782.34
  6. Step 6: Final answer
    x = 1,880.86

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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.