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Finding the Fourth Proportional to 2,607.99, 3,598.99 and 1,429.10

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Solution

The fourth proportional to 2,607.99, 3,598.99 and 1,429.10 is: 1,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,607.99 : 3,598.99 = 1,429.10 : x
  2. Step 2: Convert to fraction form
    2,607.99/3,598.99 = 1,429.10/x
  3. Step 3: Cross multiply
    2,607.99x = 3,598.99 × 1,429.10
  4. Step 4: Simplify right side
    2,607.99x = 5,143,316.61
  5. Step 5: Solve for x
    x = 5,143,316.61/2,607.99
  6. Step 6: Final answer
    x = 1,972.14

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1.5x scale

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.