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Finding the Fourth Proportional to 2,140.18, 3,210.58 and 970.58

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Solution

The fourth proportional to 2,140.18, 3,210.58 and 970.58 is: 1,456.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.18 : 3,210.58 = 970.58 : x
  2. Step 2: Convert to fraction form
    2,140.18/3,210.58 = 970.58/x
  3. Step 3: Cross multiply
    2,140.18x = 3,210.58 × 970.58
  4. Step 4: Simplify right side
    2,140.18x = 3,116,124.74
  5. Step 5: Solve for x
    x = 3,116,124.74/2,140.18
  6. Step 6: Final answer
    x = 1,456.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.