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Finding the Fourth Proportional to 3,295.58, 4,547.76 and 1,970.01

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Solution

The fourth proportional to 3,295.58, 4,547.76 and 1,970.01 is: 2,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,295.58 : 4,547.76 = 1,970.01 : x
  2. Step 2: Convert to fraction form
    3,295.58/4,547.76 = 1,970.01/x
  3. Step 3: Cross multiply
    3,295.58x = 4,547.76 × 1,970.01
  4. Step 4: Simplify right side
    3,295.58x = 8,959,122.83
  5. Step 5: Solve for x
    x = 8,959,122.83/3,295.58
  6. Step 6: Final answer
    x = 2,718.53

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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.