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Finding the Fourth Proportional to 2,328.71, 3,494.14 and 1,030.01

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Solution

The fourth proportional to 2,328.71, 3,494.14 and 1,030.01 is: 1,545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.71 : 3,494.14 = 1,030.01 : x
  2. Step 2: Convert to fraction form
    2,328.71/3,494.14 = 1,030.01/x
  3. Step 3: Cross multiply
    2,328.71x = 3,494.14 × 1,030.01
  4. Step 4: Simplify right side
    2,328.71x = 3,598,979.10
  5. Step 5: Solve for x
    x = 3,598,979.10/2,328.71
  6. Step 6: Final answer
    x = 1,545.49

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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.