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Finding the Fourth Proportional to 2,521.32, 3,479.18 and 1,402

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Solution

The fourth proportional to 2,521.32, 3,479.18 and 1,402 is: 1,934.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.32 : 3,479.18 = 1,402 : x
  2. Step 2: Convert to fraction form
    2,521.32/3,479.18 = 1,402/x
  3. Step 3: Cross multiply
    2,521.32x = 3,479.18 × 1,402
  4. Step 4: Simplify right side
    2,521.32x = 4,877,810.36
  5. Step 5: Solve for x
    x = 4,877,810.36/2,521.32
  6. Step 6: Final answer
    x = 1,934.63

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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.