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Finding the Fourth Proportional to 2,360.25, 3,537 and 1,739.07

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Solution

The fourth proportional to 2,360.25, 3,537 and 1,739.07 is: 2,606.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.25 : 3,537 = 1,739.07 : x
  2. Step 2: Convert to fraction form
    2,360.25/3,537 = 1,739.07/x
  3. Step 3: Cross multiply
    2,360.25x = 3,537 × 1,739.07
  4. Step 4: Simplify right side
    2,360.25x = 6,151,090.59
  5. Step 5: Solve for x
    x = 6,151,090.59/2,360.25
  6. Step 6: Final answer
    x = 2,606.12

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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.