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Finding the Fourth Proportional to 2,389.04, 3,583.58 and 657.76

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Solution

The fourth proportional to 2,389.04, 3,583.58 and 657.76 is: 986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,389.04 : 3,583.58 = 657.76 : x
  2. Step 2: Convert to fraction form
    2,389.04/3,583.58 = 657.76/x
  3. Step 3: Cross multiply
    2,389.04x = 3,583.58 × 657.76
  4. Step 4: Simplify right side
    2,389.04x = 2,357,135.58
  5. Step 5: Solve for x
    x = 2,357,135.58/2,389.04
  6. Step 6: Final answer
    x = 986.65

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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.