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Finding the Fourth Proportional to 1,729.03, 2,594.61 and 907.89

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Solution

The fourth proportional to 1,729.03, 2,594.61 and 907.89 is: 1,362.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.03 : 2,594.61 = 907.89 : x
  2. Step 2: Convert to fraction form
    1,729.03/2,594.61 = 907.89/x
  3. Step 3: Cross multiply
    1,729.03x = 2,594.61 × 907.89
  4. Step 4: Simplify right side
    1,729.03x = 2,355,630.20
  5. Step 5: Solve for x
    x = 2,355,630.20/1,729.03
  6. Step 6: Final answer
    x = 1,362.40

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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.