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Finding the Fourth Proportional to 2,330.78, 3,497.54 and 870.05

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Solution

The fourth proportional to 2,330.78, 3,497.54 and 870.05 is: 1,305.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.78 : 3,497.54 = 870.05 : x
  2. Step 2: Convert to fraction form
    2,330.78/3,497.54 = 870.05/x
  3. Step 3: Cross multiply
    2,330.78x = 3,497.54 × 870.05
  4. Step 4: Simplify right side
    2,330.78x = 3,043,030.29
  5. Step 5: Solve for x
    x = 3,043,030.29/2,330.78
  6. Step 6: Final answer
    x = 1,305.58

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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.