Home / 1,584.11-2,376.16-1,506.35

Finding the Fourth Proportional to 1,584.11, 2,376.16 and 1,506.35

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Solution

The fourth proportional to 1,584.11, 2,376.16 and 1,506.35 is: 2,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.11 : 2,376.16 = 1,506.35 : x
  2. Step 2: Convert to fraction form
    1,584.11/2,376.16 = 1,506.35/x
  3. Step 3: Cross multiply
    1,584.11x = 2,376.16 × 1,506.35
  4. Step 4: Simplify right side
    1,584.11x = 3,579,312.97
  5. Step 5: Solve for x
    x = 3,579,312.97/1,584.11
  6. Step 6: Final answer
    x = 2,259.52

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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.