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Finding the Fourth Proportional to 2,897.55, 4,346.47 and 923.39

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Solution

The fourth proportional to 2,897.55, 4,346.47 and 923.39 is: 1,385.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897.55 : 4,346.47 = 923.39 : x
  2. Step 2: Convert to fraction form
    2,897.55/4,346.47 = 923.39/x
  3. Step 3: Cross multiply
    2,897.55x = 4,346.47 × 923.39
  4. Step 4: Simplify right side
    2,897.55x = 4,013,482.32
  5. Step 5: Solve for x
    x = 4,013,482.32/2,897.55
  6. Step 6: Final answer
    x = 1,385.13

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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.