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Finding the Fourth Proportional to 2,595.07, 3,892.60 and 647.28

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Solution

The fourth proportional to 2,595.07, 3,892.60 and 647.28 is: 970.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.07 : 3,892.60 = 647.28 : x
  2. Step 2: Convert to fraction form
    2,595.07/3,892.60 = 647.28/x
  3. Step 3: Cross multiply
    2,595.07x = 3,892.60 × 647.28
  4. Step 4: Simplify right side
    2,595.07x = 2,519,602.13
  5. Step 5: Solve for x
    x = 2,519,602.13/2,595.07
  6. Step 6: Final answer
    x = 970.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.