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Finding the Fourth Proportional to 2,709.49, 3,740.71 and 1,715.62

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Solution

The fourth proportional to 2,709.49, 3,740.71 and 1,715.62 is: 2,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.49 : 3,740.71 = 1,715.62 : x
  2. Step 2: Convert to fraction form
    2,709.49/3,740.71 = 1,715.62/x
  3. Step 3: Cross multiply
    2,709.49x = 3,740.71 × 1,715.62
  4. Step 4: Simplify right side
    2,709.49x = 6,417,632.60
  5. Step 5: Solve for x
    x = 6,417,632.60/2,709.49
  6. Step 6: Final answer
    x = 2,368.58

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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.