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Finding the Fourth Proportional to 1,413.82, 1,951.59 and 973.18

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Solution

The fourth proportional to 1,413.82, 1,951.59 and 973.18 is: 1,343.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.82 : 1,951.59 = 973.18 : x
  2. Step 2: Convert to fraction form
    1,413.82/1,951.59 = 973.18/x
  3. Step 3: Cross multiply
    1,413.82x = 1,951.59 × 973.18
  4. Step 4: Simplify right side
    1,413.82x = 1,899,248.36
  5. Step 5: Solve for x
    x = 1,899,248.36/1,413.82
  6. Step 6: Final answer
    x = 1,343.35

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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.