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Finding the Fourth Proportional to 1,623.85, 2,434.35 and 964.10

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Solution

The fourth proportional to 1,623.85, 2,434.35 and 964.10 is: 1,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.85 : 2,434.35 = 964.10 : x
  2. Step 2: Convert to fraction form
    1,623.85/2,434.35 = 964.10/x
  3. Step 3: Cross multiply
    1,623.85x = 2,434.35 × 964.10
  4. Step 4: Simplify right side
    1,623.85x = 2,346,966.54
  5. Step 5: Solve for x
    x = 2,346,966.54/1,623.85
  6. Step 6: Final answer
    x = 1,445.31

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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.