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Finding the Fourth Proportional to 1,970.47, 2,719.55 and 1,497.60

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Solution

The fourth proportional to 1,970.47, 2,719.55 and 1,497.60 is: 2,066.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.47 : 2,719.55 = 1,497.60 : x
  2. Step 2: Convert to fraction form
    1,970.47/2,719.55 = 1,497.60/x
  3. Step 3: Cross multiply
    1,970.47x = 2,719.55 × 1,497.60
  4. Step 4: Simplify right side
    1,970.47x = 4,072,798.08
  5. Step 5: Solve for x
    x = 4,072,798.08/1,970.47
  6. Step 6: Final answer
    x = 2,066.92

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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.