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Finding the Fourth Proportional to 1,607.64, 2,397.95 and 1,460.00

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Solution

The fourth proportional to 1,607.64, 2,397.95 and 1,460.00 is: 2,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.64 : 2,397.95 = 1,460.00 : x
  2. Step 2: Convert to fraction form
    1,607.64/2,397.95 = 1,460.00/x
  3. Step 3: Cross multiply
    1,607.64x = 2,397.95 × 1,460.00
  4. Step 4: Simplify right side
    1,607.64x = 3,500,987.71
  5. Step 5: Solve for x
    x = 3,500,987.71/1,607.64
  6. Step 6: Final answer
    x = 2,177.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.