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Finding the Fourth Proportional to 2,598.34, 3,897.40 and 954.77

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Solution

The fourth proportional to 2,598.34, 3,897.40 and 954.77 is: 1,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.34 : 3,897.40 = 954.77 : x
  2. Step 2: Convert to fraction form
    2,598.34/3,897.40 = 954.77/x
  3. Step 3: Cross multiply
    2,598.34x = 3,897.40 × 954.77
  4. Step 4: Simplify right side
    2,598.34x = 3,721,116.99
  5. Step 5: Solve for x
    x = 3,721,116.99/2,598.34
  6. Step 6: Final answer
    x = 1,432.11

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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.