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Finding the Fourth Proportional to 2,364.37, 3,547.70 and 904.52

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Solution

The fourth proportional to 2,364.37, 3,547.70 and 904.52 is: 1,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.37 : 3,547.70 = 904.52 : x
  2. Step 2: Convert to fraction form
    2,364.37/3,547.70 = 904.52/x
  3. Step 3: Cross multiply
    2,364.37x = 3,547.70 × 904.52
  4. Step 4: Simplify right side
    2,364.37x = 3,208,965.60
  5. Step 5: Solve for x
    x = 3,208,965.60/2,364.37
  6. Step 6: Final answer
    x = 1,357.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.