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Finding the Fourth Proportional to 2,998.51, 4,495.71 and 1,354.16

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Solution

The fourth proportional to 2,998.51, 4,495.71 and 1,354.16 is: 2,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.51 : 4,495.71 = 1,354.16 : x
  2. Step 2: Convert to fraction form
    2,998.51/4,495.71 = 1,354.16/x
  3. Step 3: Cross multiply
    2,998.51x = 4,495.71 × 1,354.16
  4. Step 4: Simplify right side
    2,998.51x = 6,087,888.18
  5. Step 5: Solve for x
    x = 6,087,888.18/2,998.51
  6. Step 6: Final answer
    x = 2,030.31

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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.