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Finding the Fourth Proportional to 1,664.46, 2,307.74 and 1,602.90

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Solution

The fourth proportional to 1,664.46, 2,307.74 and 1,602.90 is: 2,222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,664.46 : 2,307.74 = 1,602.90 : x
  2. Step 2: Convert to fraction form
    1,664.46/2,307.74 = 1,602.90/x
  3. Step 3: Cross multiply
    1,664.46x = 2,307.74 × 1,602.90
  4. Step 4: Simplify right side
    1,664.46x = 3,699,068.43
  5. Step 5: Solve for x
    x = 3,699,068.43/1,664.46
  6. Step 6: Final answer
    x = 2,222.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.