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Finding the Fourth Proportional to 2,492.37, 3,735.06 and 1,970.07

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Solution

The fourth proportional to 2,492.37, 3,735.06 and 1,970.07 is: 2,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.37 : 3,735.06 = 1,970.07 : x
  2. Step 2: Convert to fraction form
    2,492.37/3,735.06 = 1,970.07/x
  3. Step 3: Cross multiply
    2,492.37x = 3,735.06 × 1,970.07
  4. Step 4: Simplify right side
    2,492.37x = 7,358,329.65
  5. Step 5: Solve for x
    x = 7,358,329.65/2,492.37
  6. Step 6: Final answer
    x = 2,952.34

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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.