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Finding the Fourth Proportional to 1,758.87, 2,423.01 and 1,506

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Solution

The fourth proportional to 1,758.87, 2,423.01 and 1,506 is: 2,074.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.87 : 2,423.01 = 1,506 : x
  2. Step 2: Convert to fraction form
    1,758.87/2,423.01 = 1,506/x
  3. Step 3: Cross multiply
    1,758.87x = 2,423.01 × 1,506
  4. Step 4: Simplify right side
    1,758.87x = 3,649,053.06
  5. Step 5: Solve for x
    x = 3,649,053.06/1,758.87
  6. Step 6: Final answer
    x = 2,074.66

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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.