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Finding the Fourth Proportional to 1,897.47, 2,845.76 and 598.95

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Solution

The fourth proportional to 1,897.47, 2,845.76 and 598.95 is: 898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.47 : 2,845.76 = 598.95 : x
  2. Step 2: Convert to fraction form
    1,897.47/2,845.76 = 598.95/x
  3. Step 3: Cross multiply
    1,897.47x = 2,845.76 × 598.95
  4. Step 4: Simplify right side
    1,897.47x = 1,704,464.96
  5. Step 5: Solve for x
    x = 1,704,464.96/1,897.47
  6. Step 6: Final answer
    x = 898.28

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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.