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Finding the Fourth Proportional to 2,430.64, 3,345.55 and 2,152.00

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Solution

The fourth proportional to 2,430.64, 3,345.55 and 2,152.00 is: 2,962.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.64 : 3,345.55 = 2,152.00 : x
  2. Step 2: Convert to fraction form
    2,430.64/3,345.55 = 2,152.00/x
  3. Step 3: Cross multiply
    2,430.64x = 3,345.55 × 2,152.00
  4. Step 4: Simplify right side
    2,430.64x = 7,199,634.51
  5. Step 5: Solve for x
    x = 7,199,634.51/2,430.64
  6. Step 6: Final answer
    x = 2,962.03

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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.