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Finding the Fourth Proportional to 2,345.39, 3,235.12 and 1,504.77

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Solution

The fourth proportional to 2,345.39, 3,235.12 and 1,504.77 is: 2,075.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,345.39 : 3,235.12 = 1,504.77 : x
  2. Step 2: Convert to fraction form
    2,345.39/3,235.12 = 1,504.77/x
  3. Step 3: Cross multiply
    2,345.39x = 3,235.12 × 1,504.77
  4. Step 4: Simplify right side
    2,345.39x = 4,868,095.63
  5. Step 5: Solve for x
    x = 4,868,095.63/2,345.39
  6. Step 6: Final answer
    x = 2,075.60

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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.