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Finding the Fourth Proportional to 2,328.63, 3,492.95 and 1,012.34

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Solution

The fourth proportional to 2,328.63, 3,492.95 and 1,012.34 is: 1,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,328.63 : 3,492.95 = 1,012.34 : x
  2. Step 2: Convert to fraction form
    2,328.63/3,492.95 = 1,012.34/x
  3. Step 3: Cross multiply
    2,328.63x = 3,492.95 × 1,012.34
  4. Step 4: Simplify right side
    2,328.63x = 3,536,030.48
  5. Step 5: Solve for x
    x = 3,536,030.48/2,328.63
  6. Step 6: Final answer
    x = 1,518.50

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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.