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Finding the Fourth Proportional to 2,402, 3,315.84 and 1,773.80

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Solution

The fourth proportional to 2,402, 3,315.84 and 1,773.80 is: 2,448.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402 : 3,315.84 = 1,773.80 : x
  2. Step 2: Convert to fraction form
    2,402/3,315.84 = 1,773.80/x
  3. Step 3: Cross multiply
    2,402x = 3,315.84 × 1,773.80
  4. Step 4: Simplify right side
    2,402x = 5,881,636.99
  5. Step 5: Solve for x
    x = 5,881,636.99/2,402
  6. Step 6: Final answer
    x = 2,448.64

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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.