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Finding the Fourth Proportional to 1,715.10, 2,406 and 1,715.10

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Solution

The fourth proportional to 1,715.10, 2,406 and 1,715.10 is: 2,406

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.10 : 2,406 = 1,715.10 : x
  2. Step 2: Convert to fraction form
    1,715.10/2,406 = 1,715.10/x
  3. Step 3: Cross multiply
    1,715.10x = 2,406 × 1,715.10
  4. Step 4: Simplify right side
    1,715.10x = 4,126,530.60
  5. Step 5: Solve for x
    x = 4,126,530.60/1,715.10
  6. Step 6: Final answer
    x = 2,406

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.