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Finding the Fourth Proportional to 2,549.36, 3,518.07 and 1,430.57

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Solution

The fourth proportional to 2,549.36, 3,518.07 and 1,430.57 is: 1,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.36 : 3,518.07 = 1,430.57 : x
  2. Step 2: Convert to fraction form
    2,549.36/3,518.07 = 1,430.57/x
  3. Step 3: Cross multiply
    2,549.36x = 3,518.07 × 1,430.57
  4. Step 4: Simplify right side
    2,549.36x = 5,032,848.83
  5. Step 5: Solve for x
    x = 5,032,848.83/2,549.36
  6. Step 6: Final answer
    x = 1,974.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.