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Finding the Fourth Proportional to 1,733.09, 2,597.90 and 637.16

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Solution

The fourth proportional to 1,733.09, 2,597.90 and 637.16 is: 955.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,733.09 : 2,597.90 = 637.16 : x
  2. Step 2: Convert to fraction form
    1,733.09/2,597.90 = 637.16/x
  3. Step 3: Cross multiply
    1,733.09x = 2,597.90 × 637.16
  4. Step 4: Simplify right side
    1,733.09x = 1,655,261.79
  5. Step 5: Solve for x
    x = 1,655,261.79/1,733.09
  6. Step 6: Final answer
    x = 955.10

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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.