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Finding the Fourth Proportional to 1,699.54, 2,549.95 and 877.28

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Solution

The fourth proportional to 1,699.54, 2,549.95 and 877.28 is: 1,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.54 : 2,549.95 = 877.28 : x
  2. Step 2: Convert to fraction form
    1,699.54/2,549.95 = 877.28/x
  3. Step 3: Cross multiply
    1,699.54x = 2,549.95 × 877.28
  4. Step 4: Simplify right side
    1,699.54x = 2,237,024.32
  5. Step 5: Solve for x
    x = 2,237,024.32/1,699.54
  6. Step 6: Final answer
    x = 1,316.25

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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.