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Finding the Fourth Proportional to 2,897.41, 4,346.07 and 706.06

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Solution

The fourth proportional to 2,897.41, 4,346.07 and 706.06 is: 1,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.41 : 4,346.07 = 706.06 : x
  2. Step 2: Convert to fraction form
    2,897.41/4,346.07 = 706.06/x
  3. Step 3: Cross multiply
    2,897.41x = 4,346.07 × 706.06
  4. Step 4: Simplify right side
    2,897.41x = 3,068,586.18
  5. Step 5: Solve for x
    x = 3,068,586.18/2,897.41
  6. Step 6: Final answer
    x = 1,059.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.