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Finding the Fourth Proportional to 2,360.63, 3,541.14 and 717.19

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Solution

The fourth proportional to 2,360.63, 3,541.14 and 717.19 is: 1,075.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.63 : 3,541.14 = 717.19 : x
  2. Step 2: Convert to fraction form
    2,360.63/3,541.14 = 717.19/x
  3. Step 3: Cross multiply
    2,360.63x = 3,541.14 × 717.19
  4. Step 4: Simplify right side
    2,360.63x = 2,539,661.34
  5. Step 5: Solve for x
    x = 2,539,661.34/2,360.63
  6. Step 6: Final answer
    x = 1,075.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.