Home / 1,583.94-2,182.74-1,141

Finding the Fourth Proportional to 1,583.94, 2,182.74 and 1,141

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Solution

The fourth proportional to 1,583.94, 2,182.74 and 1,141 is: 1,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.94 : 2,182.74 = 1,141 : x
  2. Step 2: Convert to fraction form
    1,583.94/2,182.74 = 1,141/x
  3. Step 3: Cross multiply
    1,583.94x = 2,182.74 × 1,141
  4. Step 4: Simplify right side
    1,583.94x = 2,490,506.34
  5. Step 5: Solve for x
    x = 2,490,506.34/1,583.94
  6. Step 6: Final answer
    x = 1,572.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.