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Finding the Fourth Proportional to 1,784.70, 2,670.57 and 1,507.68

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Solution

The fourth proportional to 1,784.70, 2,670.57 and 1,507.68 is: 2,256.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.70 : 2,670.57 = 1,507.68 : x
  2. Step 2: Convert to fraction form
    1,784.70/2,670.57 = 1,507.68/x
  3. Step 3: Cross multiply
    1,784.70x = 2,670.57 × 1,507.68
  4. Step 4: Simplify right side
    1,784.70x = 4,026,364.98
  5. Step 5: Solve for x
    x = 4,026,364.98/1,784.70
  6. Step 6: Final answer
    x = 2,256.05

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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.