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Finding the Fourth Proportional to 2,345.42, 3,235.95 and 1,413.92

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Solution

The fourth proportional to 2,345.42, 3,235.95 and 1,413.92 is: 1,950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.42 : 3,235.95 = 1,413.92 : x
  2. Step 2: Convert to fraction form
    2,345.42/3,235.95 = 1,413.92/x
  3. Step 3: Cross multiply
    2,345.42x = 3,235.95 × 1,413.92
  4. Step 4: Simplify right side
    2,345.42x = 4,575,382.51
  5. Step 5: Solve for x
    x = 4,575,382.51/2,345.42
  6. Step 6: Final answer
    x = 1,950.77

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1.5x scale

Why These Related Problems?

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