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Finding the Fourth Proportional to 1,637.70, 2,455.94 and 597.36

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Solution

The fourth proportional to 1,637.70, 2,455.94 and 597.36 is: 895.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.70 : 2,455.94 = 597.36 : x
  2. Step 2: Convert to fraction form
    1,637.70/2,455.94 = 597.36/x
  3. Step 3: Cross multiply
    1,637.70x = 2,455.94 × 597.36
  4. Step 4: Simplify right side
    1,637.70x = 1,467,080.32
  5. Step 5: Solve for x
    x = 1,467,080.32/1,637.70
  6. Step 6: Final answer
    x = 895.82

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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.