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Finding the Fourth Proportional to 2,897.39, 4,346.40 and 948.89

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Solution

The fourth proportional to 2,897.39, 4,346.40 and 948.89 is: 1,423.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.39 : 4,346.40 = 948.89 : x
  2. Step 2: Convert to fraction form
    2,897.39/4,346.40 = 948.89/x
  3. Step 3: Cross multiply
    2,897.39x = 4,346.40 × 948.89
  4. Step 4: Simplify right side
    2,897.39x = 4,124,255.50
  5. Step 5: Solve for x
    x = 4,124,255.50/2,897.39
  6. Step 6: Final answer
    x = 1,423.44

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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.