Home / 1,585.28-2,376.64-1,097.12

Finding the Fourth Proportional to 1,585.28, 2,376.64 and 1,097.12

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Solution

The fourth proportional to 1,585.28, 2,376.64 and 1,097.12 is: 1,644.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.28 : 2,376.64 = 1,097.12 : x
  2. Step 2: Convert to fraction form
    1,585.28/2,376.64 = 1,097.12/x
  3. Step 3: Cross multiply
    1,585.28x = 2,376.64 × 1,097.12
  4. Step 4: Simplify right side
    1,585.28x = 2,607,459.28
  5. Step 5: Solve for x
    x = 2,607,459.28/1,585.28
  6. Step 6: Final answer
    x = 1,644.79

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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.