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Finding the Fourth Proportional to 1,572.21, 2,356.47 and 647.31

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Solution

The fourth proportional to 1,572.21, 2,356.47 and 647.31 is: 970.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.21 : 2,356.47 = 647.31 : x
  2. Step 2: Convert to fraction form
    1,572.21/2,356.47 = 647.31/x
  3. Step 3: Cross multiply
    1,572.21x = 2,356.47 × 647.31
  4. Step 4: Simplify right side
    1,572.21x = 1,525,366.60
  5. Step 5: Solve for x
    x = 1,525,366.60/1,572.21
  6. Step 6: Final answer
    x = 970.21

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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.