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Finding the Fourth Proportional to 1,570.80, 2,356.23 and 621.15

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Solution

The fourth proportional to 1,570.80, 2,356.23 and 621.15 is: 931.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.80 : 2,356.23 = 621.15 : x
  2. Step 2: Convert to fraction form
    1,570.80/2,356.23 = 621.15/x
  3. Step 3: Cross multiply
    1,570.80x = 2,356.23 × 621.15
  4. Step 4: Simplify right side
    1,570.80x = 1,463,572.26
  5. Step 5: Solve for x
    x = 1,463,572.26/1,570.80
  6. Step 6: Final answer
    x = 931.74

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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.