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Finding the Fourth Proportional to 2,386.40, 3,585.06 and 1,413.18

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Solution

The fourth proportional to 2,386.40, 3,585.06 and 1,413.18 is: 2,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,386.40 : 3,585.06 = 1,413.18 : x
  2. Step 2: Convert to fraction form
    2,386.40/3,585.06 = 1,413.18/x
  3. Step 3: Cross multiply
    2,386.40x = 3,585.06 × 1,413.18
  4. Step 4: Simplify right side
    2,386.40x = 5,066,335.09
  5. Step 5: Solve for x
    x = 5,066,335.09/2,386.40
  6. Step 6: Final answer
    x = 2,123.01

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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.