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Finding the Fourth Proportional to 1,572.77, 2,368.29 and 1,164.80

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Solution

The fourth proportional to 1,572.77, 2,368.29 and 1,164.80 is: 1,753.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.77 : 2,368.29 = 1,164.80 : x
  2. Step 2: Convert to fraction form
    1,572.77/2,368.29 = 1,164.80/x
  3. Step 3: Cross multiply
    1,572.77x = 2,368.29 × 1,164.80
  4. Step 4: Simplify right side
    1,572.77x = 2,758,572.35
  5. Step 5: Solve for x
    x = 2,758,572.35/1,572.77
  6. Step 6: Final answer
    x = 1,753.96

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Why These Related Problems?

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