Home / 2,102.02-3,165.27-1,558.06

Finding the Fourth Proportional to 2,102.02, 3,165.27 and 1,558.06

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Solution

The fourth proportional to 2,102.02, 3,165.27 and 1,558.06 is: 2,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.02 : 3,165.27 = 1,558.06 : x
  2. Step 2: Convert to fraction form
    2,102.02/3,165.27 = 1,558.06/x
  3. Step 3: Cross multiply
    2,102.02x = 3,165.27 × 1,558.06
  4. Step 4: Simplify right side
    2,102.02x = 4,931,680.58
  5. Step 5: Solve for x
    x = 4,931,680.58/2,102.02
  6. Step 6: Final answer
    x = 2,346.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.