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Finding the Fourth Proportional to 2,897.70, 4,336.29 and 1,802.58

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Solution

The fourth proportional to 2,897.70, 4,336.29 and 1,802.58 is: 2,697.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.70 : 4,336.29 = 1,802.58 : x
  2. Step 2: Convert to fraction form
    2,897.70/4,336.29 = 1,802.58/x
  3. Step 3: Cross multiply
    2,897.70x = 4,336.29 × 1,802.58
  4. Step 4: Simplify right side
    2,897.70x = 7,816,509.63
  5. Step 5: Solve for x
    x = 7,816,509.63/2,897.70
  6. Step 6: Final answer
    x = 2,697.49

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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.