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Finding the Fourth Proportional to 2,394.34, 3,302.84 and 1,437.00

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Solution

The fourth proportional to 2,394.34, 3,302.84 and 1,437.00 is: 1,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,394.34 : 3,302.84 = 1,437.00 : x
  2. Step 2: Convert to fraction form
    2,394.34/3,302.84 = 1,437.00/x
  3. Step 3: Cross multiply
    2,394.34x = 3,302.84 × 1,437.00
  4. Step 4: Simplify right side
    2,394.34x = 4,746,192.93
  5. Step 5: Solve for x
    x = 4,746,192.93/2,394.34
  6. Step 6: Final answer
    x = 1,982.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.