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Finding the Fourth Proportional to 2,948.84, 4,069.48 and 1,690

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Solution

The fourth proportional to 2,948.84, 4,069.48 and 1,690 is: 2,332.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.84 : 4,069.48 = 1,690 : x
  2. Step 2: Convert to fraction form
    2,948.84/4,069.48 = 1,690/x
  3. Step 3: Cross multiply
    2,948.84x = 4,069.48 × 1,690
  4. Step 4: Simplify right side
    2,948.84x = 6,877,421.20
  5. Step 5: Solve for x
    x = 6,877,421.20/2,948.84
  6. Step 6: Final answer
    x = 2,332.25

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