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Finding the Fourth Proportional to 2,602.64, 3,590.44 and 1,498

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Solution

The fourth proportional to 2,602.64, 3,590.44 and 1,498 is: 2,066.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.64 : 3,590.44 = 1,498 : x
  2. Step 2: Convert to fraction form
    2,602.64/3,590.44 = 1,498/x
  3. Step 3: Cross multiply
    2,602.64x = 3,590.44 × 1,498
  4. Step 4: Simplify right side
    2,602.64x = 5,378,479.12
  5. Step 5: Solve for x
    x = 5,378,479.12/2,602.64
  6. Step 6: Final answer
    x = 2,066.55

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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.