Home / 1,585.14-2,376.90-1,065.12

Finding the Fourth Proportional to 1,585.14, 2,376.90 and 1,065.12

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Solution

The fourth proportional to 1,585.14, 2,376.90 and 1,065.12 is: 1,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.14 : 2,376.90 = 1,065.12 : x
  2. Step 2: Convert to fraction form
    1,585.14/2,376.90 = 1,065.12/x
  3. Step 3: Cross multiply
    1,585.14x = 2,376.90 × 1,065.12
  4. Step 4: Simplify right side
    1,585.14x = 2,531,683.73
  5. Step 5: Solve for x
    x = 2,531,683.73/1,585.14
  6. Step 6: Final answer
    x = 1,597.14

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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.