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Finding the Fourth Proportional to 1,572.23, 2,356.04 and 597.20

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Solution

The fourth proportional to 1,572.23, 2,356.04 and 597.20 is: 894.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.23 : 2,356.04 = 597.20 : x
  2. Step 2: Convert to fraction form
    1,572.23/2,356.04 = 597.20/x
  3. Step 3: Cross multiply
    1,572.23x = 2,356.04 × 597.20
  4. Step 4: Simplify right side
    1,572.23x = 1,407,012.32
  5. Step 5: Solve for x
    x = 1,407,012.32/1,572.23
  6. Step 6: Final answer
    x = 894.92

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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.