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Finding the Fourth Proportional to 2,384.76, 3,577.14 and 653.34

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Solution

The fourth proportional to 2,384.76, 3,577.14 and 653.34 is: 980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.76 : 3,577.14 = 653.34 : x
  2. Step 2: Convert to fraction form
    2,384.76/3,577.14 = 653.34/x
  3. Step 3: Cross multiply
    2,384.76x = 3,577.14 × 653.34
  4. Step 4: Simplify right side
    2,384.76x = 2,337,088.65
  5. Step 5: Solve for x
    x = 2,337,088.65/2,384.76
  6. Step 6: Final answer
    x = 980.01

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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.