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Finding the Fourth Proportional to 2,366.61, 3,547.51 and 980.70

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Solution

The fourth proportional to 2,366.61, 3,547.51 and 980.70 is: 1,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.61 : 3,547.51 = 980.70 : x
  2. Step 2: Convert to fraction form
    2,366.61/3,547.51 = 980.70/x
  3. Step 3: Cross multiply
    2,366.61x = 3,547.51 × 980.70
  4. Step 4: Simplify right side
    2,366.61x = 3,479,043.06
  5. Step 5: Solve for x
    x = 3,479,043.06/2,366.61
  6. Step 6: Final answer
    x = 1,470.05

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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.