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Finding the Fourth Proportional to 2,360.55, 3,256.59 and 1,416.37

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Solution

The fourth proportional to 2,360.55, 3,256.59 and 1,416.37 is: 1,954.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.55 : 3,256.59 = 1,416.37 : x
  2. Step 2: Convert to fraction form
    2,360.55/3,256.59 = 1,416.37/x
  3. Step 3: Cross multiply
    2,360.55x = 3,256.59 × 1,416.37
  4. Step 4: Simplify right side
    2,360.55x = 4,612,536.38
  5. Step 5: Solve for x
    x = 4,612,536.38/2,360.55
  6. Step 6: Final answer
    x = 1,954.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.