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Finding the Fourth Proportional to 2,385.04, 3,577.14 and 922.99

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Solution

The fourth proportional to 2,385.04, 3,577.14 and 922.99 is: 1,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,385.04 : 3,577.14 = 922.99 : x
  2. Step 2: Convert to fraction form
    2,385.04/3,577.14 = 922.99/x
  3. Step 3: Cross multiply
    2,385.04x = 3,577.14 × 922.99
  4. Step 4: Simplify right side
    2,385.04x = 3,301,664.45
  5. Step 5: Solve for x
    x = 3,301,664.45/2,385.04
  6. Step 6: Final answer
    x = 1,384.32

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1.5x scale

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.