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Finding the Fourth Proportional to 1,723.84, 2,595.13 and 1,570.78

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Solution

The fourth proportional to 1,723.84, 2,595.13 and 1,570.78 is: 2,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.84 : 2,595.13 = 1,570.78 : x
  2. Step 2: Convert to fraction form
    1,723.84/2,595.13 = 1,570.78/x
  3. Step 3: Cross multiply
    1,723.84x = 2,595.13 × 1,570.78
  4. Step 4: Simplify right side
    1,723.84x = 4,076,378.30
  5. Step 5: Solve for x
    x = 4,076,378.30/1,723.84
  6. Step 6: Final answer
    x = 2,364.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.