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Finding the Fourth Proportional to 1,913.23, 2,869.61 and 597.08

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Solution

The fourth proportional to 1,913.23, 2,869.61 and 597.08 is: 895.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,913.23 : 2,869.61 = 597.08 : x
  2. Step 2: Convert to fraction form
    1,913.23/2,869.61 = 597.08/x
  3. Step 3: Cross multiply
    1,913.23x = 2,869.61 × 597.08
  4. Step 4: Simplify right side
    1,913.23x = 1,713,386.74
  5. Step 5: Solve for x
    x = 1,713,386.74/1,913.23
  6. Step 6: Final answer
    x = 895.55

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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.