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Finding the Fourth Proportional to 2,360.16, 3,539.40 and 899.76

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Solution

The fourth proportional to 2,360.16, 3,539.40 and 899.76 is: 1,349.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,360.16 : 3,539.40 = 899.76 : x
  2. Step 2: Convert to fraction form
    2,360.16/3,539.40 = 899.76/x
  3. Step 3: Cross multiply
    2,360.16x = 3,539.40 × 899.76
  4. Step 4: Simplify right side
    2,360.16x = 3,184,610.54
  5. Step 5: Solve for x
    x = 3,184,610.54/2,360.16
  6. Step 6: Final answer
    x = 1,349.32

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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.