Home / 1,584.40-2,369.64-1,412.32

Finding the Fourth Proportional to 1,584.40, 2,369.64 and 1,412.32

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Solution

The fourth proportional to 1,584.40, 2,369.64 and 1,412.32 is: 2,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.40 : 2,369.64 = 1,412.32 : x
  2. Step 2: Convert to fraction form
    1,584.40/2,369.64 = 1,412.32/x
  3. Step 3: Cross multiply
    1,584.40x = 2,369.64 × 1,412.32
  4. Step 4: Simplify right side
    1,584.40x = 3,346,689.96
  5. Step 5: Solve for x
    x = 3,346,689.96/1,584.40
  6. Step 6: Final answer
    x = 2,112.28

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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.