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Finding the Fourth Proportional to 1,497.64, 2,066.10 and 973.72

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Solution

The fourth proportional to 1,497.64, 2,066.10 and 973.72 is: 1,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,497.64 : 2,066.10 = 973.72 : x
  2. Step 2: Convert to fraction form
    1,497.64/2,066.10 = 973.72/x
  3. Step 3: Cross multiply
    1,497.64x = 2,066.10 × 973.72
  4. Step 4: Simplify right side
    1,497.64x = 2,011,802.89
  5. Step 5: Solve for x
    x = 2,011,802.89/1,497.64
  6. Step 6: Final answer
    x = 1,343.32

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Why These Related Problems?

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