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Finding the Fourth Proportional to 2,335.40, 3,499.54 and 1,970.92

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Solution

The fourth proportional to 2,335.40, 3,499.54 and 1,970.92 is: 2,953.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.40 : 3,499.54 = 1,970.92 : x
  2. Step 2: Convert to fraction form
    2,335.40/3,499.54 = 1,970.92/x
  3. Step 3: Cross multiply
    2,335.40x = 3,499.54 × 1,970.92
  4. Step 4: Simplify right side
    2,335.40x = 6,897,313.38
  5. Step 5: Solve for x
    x = 6,897,313.38/2,335.40
  6. Step 6: Final answer
    x = 2,953.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.