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Finding the Fourth Proportional to 1,570.77, 2,354.60 and 877.74

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Solution

The fourth proportional to 1,570.77, 2,354.60 and 877.74 is: 1,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.77 : 2,354.60 = 877.74 : x
  2. Step 2: Convert to fraction form
    1,570.77/2,354.60 = 877.74/x
  3. Step 3: Cross multiply
    1,570.77x = 2,354.60 × 877.74
  4. Step 4: Simplify right side
    1,570.77x = 2,066,722.22
  5. Step 5: Solve for x
    x = 2,066,722.22/1,570.77
  6. Step 6: Final answer
    x = 1,315.74

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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.