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Finding the Fourth Proportional to 3,430.84, 5,143.74 and 1,699.06

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Solution

The fourth proportional to 3,430.84, 5,143.74 and 1,699.06 is: 2,547.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.84 : 5,143.74 = 1,699.06 : x
  2. Step 2: Convert to fraction form
    3,430.84/5,143.74 = 1,699.06/x
  3. Step 3: Cross multiply
    3,430.84x = 5,143.74 × 1,699.06
  4. Step 4: Simplify right side
    3,430.84x = 8,739,522.88
  5. Step 5: Solve for x
    x = 8,739,522.88/3,430.84
  6. Step 6: Final answer
    x = 2,547.34

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