Home / 1,648.02-2,462.38-1,590.64

Finding the Fourth Proportional to 1,648.02, 2,462.38 and 1,590.64

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Solution

The fourth proportional to 1,648.02, 2,462.38 and 1,590.64 is: 2,376.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.02 : 2,462.38 = 1,590.64 : x
  2. Step 2: Convert to fraction form
    1,648.02/2,462.38 = 1,590.64/x
  3. Step 3: Cross multiply
    1,648.02x = 2,462.38 × 1,590.64
  4. Step 4: Simplify right side
    1,648.02x = 3,916,760.12
  5. Step 5: Solve for x
    x = 3,916,760.12/1,648.02
  6. Step 6: Final answer
    x = 2,376.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.