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Finding the Fourth Proportional to 2,898.00, 4,347.33 and 922.93

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Solution

The fourth proportional to 2,898.00, 4,347.33 and 922.93 is: 1,384.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.00 : 4,347.33 = 922.93 : x
  2. Step 2: Convert to fraction form
    2,898.00/4,347.33 = 922.93/x
  3. Step 3: Cross multiply
    2,898.00x = 4,347.33 × 922.93
  4. Step 4: Simplify right side
    2,898.00x = 4,012,290.17
  5. Step 5: Solve for x
    x = 4,012,290.17/2,898.00
  6. Step 6: Final answer
    x = 1,384.50

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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.