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Finding the Fourth Proportional to 2,970.17, 4,098.53 and 1,643.52

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Solution

The fourth proportional to 2,970.17, 4,098.53 and 1,643.52 is: 2,267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.17 : 4,098.53 = 1,643.52 : x
  2. Step 2: Convert to fraction form
    2,970.17/4,098.53 = 1,643.52/x
  3. Step 3: Cross multiply
    2,970.17x = 4,098.53 × 1,643.52
  4. Step 4: Simplify right side
    2,970.17x = 6,736,007.81
  5. Step 5: Solve for x
    x = 6,736,007.81/2,970.17
  6. Step 6: Final answer
    x = 2,267.89

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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.