Home / 2,030-3,046.62-1,056.40

Finding the Fourth Proportional to 2,030, 3,046.62 and 1,056.40

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Solution

The fourth proportional to 2,030, 3,046.62 and 1,056.40 is: 1,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030 : 3,046.62 = 1,056.40 : x
  2. Step 2: Convert to fraction form
    2,030/3,046.62 = 1,056.40/x
  3. Step 3: Cross multiply
    2,030x = 3,046.62 × 1,056.40
  4. Step 4: Simplify right side
    2,030x = 3,218,449.37
  5. Step 5: Solve for x
    x = 3,218,449.37/2,030
  6. Step 6: Final answer
    x = 1,585.44

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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.