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Finding the Fourth Proportional to 1,898.25, 2,848.18 and 924.09

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Solution

The fourth proportional to 1,898.25, 2,848.18 and 924.09 is: 1,386.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,898.25 : 2,848.18 = 924.09 : x
  2. Step 2: Convert to fraction form
    1,898.25/2,848.18 = 924.09/x
  3. Step 3: Cross multiply
    1,898.25x = 2,848.18 × 924.09
  4. Step 4: Simplify right side
    1,898.25x = 2,631,960.42
  5. Step 5: Solve for x
    x = 2,631,960.42/1,898.25
  6. Step 6: Final answer
    x = 1,386.52

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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.