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Finding the Fourth Proportional to 1,652.91, 2,264.51 and 1,590.64

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Solution

The fourth proportional to 1,652.91, 2,264.51 and 1,590.64 is: 2,179.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,652.91 : 2,264.51 = 1,590.64 : x
  2. Step 2: Convert to fraction form
    1,652.91/2,264.51 = 1,590.64/x
  3. Step 3: Cross multiply
    1,652.91x = 2,264.51 × 1,590.64
  4. Step 4: Simplify right side
    1,652.91x = 3,602,009.55
  5. Step 5: Solve for x
    x = 3,602,009.55/1,652.91
  6. Step 6: Final answer
    x = 2,179.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.