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Finding the Fourth Proportional to 2,435.39, 3,654.97 and 975.50

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Solution

The fourth proportional to 2,435.39, 3,654.97 and 975.50 is: 1,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,435.39 : 3,654.97 = 975.50 : x
  2. Step 2: Convert to fraction form
    2,435.39/3,654.97 = 975.50/x
  3. Step 3: Cross multiply
    2,435.39x = 3,654.97 × 975.50
  4. Step 4: Simplify right side
    2,435.39x = 3,565,423.24
  5. Step 5: Solve for x
    x = 3,565,423.24/2,435.39
  6. Step 6: Final answer
    x = 1,464.01

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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.