Home / 1,584.15-2,373.88-1,411.15

Finding the Fourth Proportional to 1,584.15, 2,373.88 and 1,411.15

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Solution

The fourth proportional to 1,584.15, 2,373.88 and 1,411.15 is: 2,114.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.15 : 2,373.88 = 1,411.15 : x
  2. Step 2: Convert to fraction form
    1,584.15/2,373.88 = 1,411.15/x
  3. Step 3: Cross multiply
    1,584.15x = 2,373.88 × 1,411.15
  4. Step 4: Simplify right side
    1,584.15x = 3,349,900.76
  5. Step 5: Solve for x
    x = 3,349,900.76/1,584.15
  6. Step 6: Final answer
    x = 2,114.64

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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.