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Finding the Fourth Proportional to 2,384.04, 3,290 and 1,389.93

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Solution

The fourth proportional to 2,384.04, 3,290 and 1,389.93 is: 1,918.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.04 : 3,290 = 1,389.93 : x
  2. Step 2: Convert to fraction form
    2,384.04/3,290 = 1,389.93/x
  3. Step 3: Cross multiply
    2,384.04x = 3,290 × 1,389.93
  4. Step 4: Simplify right side
    2,384.04x = 4,572,869.70
  5. Step 5: Solve for x
    x = 4,572,869.70/2,384.04
  6. Step 6: Final answer
    x = 1,918.12

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Why These Related Problems?

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