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Finding the Fourth Proportional to 2,152.47, 2,970.56 and 1,312.95

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Solution

The fourth proportional to 2,152.47, 2,970.56 and 1,312.95 is: 1,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.47 : 2,970.56 = 1,312.95 : x
  2. Step 2: Convert to fraction form
    2,152.47/2,970.56 = 1,312.95/x
  3. Step 3: Cross multiply
    2,152.47x = 2,970.56 × 1,312.95
  4. Step 4: Simplify right side
    2,152.47x = 3,900,187.08
  5. Step 5: Solve for x
    x = 3,900,187.08/2,152.47
  6. Step 6: Final answer
    x = 1,811.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.