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Finding the Fourth Proportional to 3,091.19, 4,637.54 and 899.93

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Solution

The fourth proportional to 3,091.19, 4,637.54 and 899.93 is: 1,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091.19 : 4,637.54 = 899.93 : x
  2. Step 2: Convert to fraction form
    3,091.19/4,637.54 = 899.93/x
  3. Step 3: Cross multiply
    3,091.19x = 4,637.54 × 899.93
  4. Step 4: Simplify right side
    3,091.19x = 4,173,475.22
  5. Step 5: Solve for x
    x = 4,173,475.22/3,091.19
  6. Step 6: Final answer
    x = 1,350.12

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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.