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Finding the Fourth Proportional to 1,547.59, 2,319.31 and 889.77

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Solution

The fourth proportional to 1,547.59, 2,319.31 and 889.77 is: 1,333.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,547.59 : 2,319.31 = 889.77 : x
  2. Step 2: Convert to fraction form
    1,547.59/2,319.31 = 889.77/x
  3. Step 3: Cross multiply
    1,547.59x = 2,319.31 × 889.77
  4. Step 4: Simplify right side
    1,547.59x = 2,063,652.46
  5. Step 5: Solve for x
    x = 2,063,652.46/1,547.59
  6. Step 6: Final answer
    x = 1,333.46

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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.