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Finding the Fourth Proportional to 1,735.99, 2,603.51 and 810.63

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Solution

The fourth proportional to 1,735.99, 2,603.51 and 810.63 is: 1,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.99 : 2,603.51 = 810.63 : x
  2. Step 2: Convert to fraction form
    1,735.99/2,603.51 = 810.63/x
  3. Step 3: Cross multiply
    1,735.99x = 2,603.51 × 810.63
  4. Step 4: Simplify right side
    1,735.99x = 2,110,483.31
  5. Step 5: Solve for x
    x = 2,110,483.31/1,735.99
  6. Step 6: Final answer
    x = 1,215.72

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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.