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Finding the Fourth Proportional to 1,570.61, 2,355.80 and 881.59

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Solution

The fourth proportional to 1,570.61, 2,355.80 and 881.59 is: 1,322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.61 : 2,355.80 = 881.59 : x
  2. Step 2: Convert to fraction form
    1,570.61/2,355.80 = 881.59/x
  3. Step 3: Cross multiply
    1,570.61x = 2,355.80 × 881.59
  4. Step 4: Simplify right side
    1,570.61x = 2,076,839.42
  5. Step 5: Solve for x
    x = 2,076,839.42/1,570.61
  6. Step 6: Final answer
    x = 1,322.32

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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.